new linear codes from 280410

• binary: 6 optimal + 4 new + 6 derived
• ternary: 8 new + 14 derived
• q=4: 2 optimal + 5 new + 11 derived
• q=5:
• q=7:
• q=8: 4 new + 2 derived
• q=9: 1 new

binary q=2

q=2 k=17 n=47 d=14

(special construction, see  preprint)
( link )

generator matrix:
00111110000011000111100011110000111110001111000
00001110111111001011100101110001001100010000100
00001111001101111000100011110010011110000000000
00000011000111111111101010111110000010101111001
11000110010011010001001100000111101011110001100
01010011011001111010000110000011001111100000000
11100111000010010000110010001101010100000111100
10001101001100010010010001000011111110011111000
10110000000101011001011110000001101010101111001
10010000110100011011001011010011100011000010100
10001001010100101010001001110000100110001101101
10111101110011110100110010000101000100010100100
11011101111101111010101011010011110001110111101
10001010110110011111011010010001011010001011001
01000001111000001111000000000110000100010011100
10100001110110110111110110010000101000011001000
11111111111111111111111111111111111111111111110
mindist=14
weight enumerator=1 [0]  813 [14]  2978 [16]  8320 [18]  17696 [20]  27720 [22]  30968 [24
]  23072 [26]  12320 [28]  5386 [30]  1573 [32]  224 [34]  1 [46]  

q=2 k=12 n=59 d=24 optimal

(extension of a code)
( link )

generator matrix:
00001001110001101111000010011100011000110001110000100001100
00011011110010100011000110001100000011000110000011011110000
01111000010100100111000010100001101101110000110011000000010
11101100010010111000001100111100101111010000001101100110000
00011010100111010101111010110110001111111011110101011001110
10001110111100010000011100101100101000010111000110101011001
11111000000000011111000000000011111000001111101111111111110
10111001001110011011111001011101000111111010101100010000100
01110100111010001100001111011001100110111010011100111010100
10010110111011111110101000000001001100010111100011001001000
10111101010110001100100011111000111010000000011000000111011
11000111101101110000010001000010111100000100000100011100001
mindist=24
weight enumerator=1 [0]  906 [24]  1184 [28]  1591 [32]  384 [36]  30 [40]  
This is a self-orthogonal code

q=2 k=11 n=96 d=42

(using automorphisms)
( link )

code with group 39684

generator matrix:
000111111000001111000111111000001111011111111000000011000111111000111111000001111011000111111000
011000011111110111011001111000000011000111111000011101001000111001000111001110001011001000001000
001001101000111001111010011001111101011000011001100101010001011011111001010000111000011000110011
110000010000110111000000101110010101101001111011111101111011100001011010011110010111010011001011
010010110001011001101010111110101000101010100100101100000110011100101001010011100101101001010101
000110111010111111011011011110001101100001011001001100011001111100001000110100000010101100111101
111111000111000111111110111000111010001101100000111111000000101011010010001101111110100111000101
000010100010001011110110011110001010010100000101001001010111000111010000011001100011011100001101
001010001110011111110110011111011011010100000001011101100100101010101001100110011100101111111011
110100111010011100111000001010110111110101101111110010111001011000110000011010100000101100100000
110110000110000011010011001100100110110011101100101001111000001001000010010000001110011001001110
corresponding to the solution:
[0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
mindist=42
weight enumerator=1 [0]  417 [42]  213 [44]  375 [46]  163 [48]  372 [50]  72 [52]  312 [54
]  36 [56]  51 [58]  27 [60]  9 [62]  

q=2 k=11 n=99 d=44 optimal

(using automorphisms)
( link )

code with group 39684

generator matrix:
000111111000001111000111111000001111011111111000000011000111111000111111000001111011000111111011000
011000011111110111011001111000000011000111111000011101001000111001000111001110001011001000001011000
001001101000111001111010011001111101011000011001100101010001011011111001010000111000011000110000011
110000010000110111000000101110010101101001111011111101111011100001011010011110010111010011001000011
010010110001011001101010111110101000101010100100101100000110011100101001010011100101101001010101101
000110111010111111011011011110001101100001011001001100011001111100001000110100000010101100111101101
111111000111000111111110111000111010001101100000111111000000101011010010001101111110100111000110101
000010100010001011110110011110001010010100000101001001010111000111010000011001100011011100001011101
001010001110011111110110011111011011010100000001011101100100101010101001100110011100101111111011011
110100111010011100111000001010110111110101101111110010111001011000110000011010100000101100100000000
110110000110000011010011001100100110110011101100101001111000001001000010010000001110011001001110110
corresponding to the solution:
[0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
mindist=44
weight enumerator=1 [0]  630 [44]  538 [48]  444 [52]  348 [56]  78 [60]  9 [64]  

q=2 k=9 n=107 d=50 optimal

(using automorphisms)
( link )

code with group 35951

generator matrix:
00111100111100100011100011100011100000100011100111100001100011100011101111101111100000100001100000101100101
01000101000101100011100101100101100011100101111001100010100101100101110001100011100011100110000111010001010
00111100111111100101101111100000100101101010101000111100101010100000110000010000000100001110101001110101010
00011001011110100011111110101000000111010011000011000110000100001101010111100000111001010011101000010011110
01111001111000101000110110110110101011110110101000101000110010001010000001110011101001010001010011110011000
00111100111101010100101100101100110111101100110001001010001000010000001111101111110101010111001011000010001
00101000101011001101001010101010110100111100010110101001000101111001001010110101000011101001010001100110010
10000110000110010010111100011100011111000101110001000001101010101111100110101011000100010111010100111011110
10100000011010010001011000000001101001001111011100101101111100100111111001100011001011110011110010001001100
corresponding to the solution:
[0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0]
mindist=50
weight enumerator=1 [0]  210 [50]  83 [52]  87 [54]  33 [56]  45 [58]  7 [60]  15 [62]  2
 [64]  21 [66]  2 [68]  6 [70]  

q=2 k=9 n=110 d=52 optimal

(using automorphisms)
( link )

code with group 35951

generator matrix:
00111100111100100011100011100011100000100011100111100001100011100011101111101111100000100001100000101100101000
01000101000101100011100101100101100011100101111001100010100101100101110001100011100011100110000111010001010011
00111100111111100101101111100000100101101010101000111100101010100000110000010000000100001110101001110101010101
00011001011110100011111110101000000111010011000011000110000100001101010111100000111001010011101000010011110101
01111001111000101000110110110110101011110110101000101000110010001010000001110011101001010001010011110011000000
00111100111101010100101100101100110111101100110001001010001000010000001111101111110101010111001011000010001011
00101000101011001101001010101010110100111100010110101001000101111001001010110101000011101001010001100110010101
10000110000110010010111100011100011111000101110001000001101010101111100110101011000100010111010100111011110110
10100000011010010001011000000001101001001111011100101101111100100111111001100011001011110011110010001001100000
corresponding to the solution:
[0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
,1,1,0,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0]
mindist=52
weight enumerator=1 [0]  293 [52]  120 [56]  52 [60]  17 [64]  23 [68]  6 [72]  

q=2 k=11 n=145 d=66

(extension of a code)
( link )

generator matrix:
0000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111110
0000000000000000000000000000000000011111111111111111111111111111111111000000000000000000000000000000000000111111111111111111111111111111111111111
0000000000000000000000011111111111100000000000000000111111111111111111000000000000000000111111111111111111000000000000000000111111111111111111110
0000000000000000111111100000001111100000000011111111000000001111111111000000000011111111000000001111111111000000011111111111000000000001111111110
0000000000011111000001100000110011100000111100001111000011110000111111000000111100001111000011110000111111000111100001111111000011111110000000110
0000001111100001000110100011000000100011001100110011111100010111000011000011000000010111000111110111001111011011100110001111001100001110000111010
0000110011100110001010000001010001000101010111111101001101100001000011001100000100101011000001111111110011101100111000110001011100110110011001010
0001000011100011001000000110000110001001111101010100010110111010000011110000001000001111001010111011111100001011011010010110110001011000111010010
0010000100101110010100001000011000001111011000100010101011100101001101000101010000001101010011011111011101011101101000111010100000010011101011100
0100010101001100010001001110000100001111010011001100011001001110010101011000000001001111100011101101100111111001000101011101110101101010010010100
1000010010001000010110101100100000001111101001101011010010011000100101100010100010001110000011111110111010101100001110000011000110111100110101100
mindist=66
weight enumerator=1 [0]  528 [66]  256 [68]  136 [70]  52 [72]  558 [74]  135 [76]  52 [78
]  9 [80]  240 [82]  54 [84]  4 [86]  2 [88]  18 [90]  3 [92]  

q=2 k=11 n=148 d=68

(using automorphisms)
( link )

code with group 129360

generator matrix:
0000000001111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000000000000000
0001111110000001111111111111111111111111111111111111111000000000000000000000000000000111111111111111111111111111111000000000000000000000000000000000
0010001111111110111111011001011011001011001011001000000011111001011001001001001000000011001001011001001011011011001001011001001001011011001000000000
0000010110111110000011011111001111011100010000110011001101001111111000010010000001001011011001001011011101100100010001001011011011100000010001001000
0000001011010010011100011110100000000111101001010111011111111111101010000000010010010011001011001110110010101101100011001001100000001001110011000001
0000000111100100101001101011001000000111110010100111110111111111011001000000100001100101010110010011101100011110001101100100010000100010011110000010
0100010111111110111111101100110101010101100110010000000101111010110100100010010000000101010010110100010110110101010100101100100010101110100000000000
0000011011011110000110101111010111110010001000101101010110010111111000001100000100010101110010010101110011001010100100100101101110010000001010010000
0000001111101110000101110111100111101001100000011110100011100111111000100001000010100110101100100110101110010001001010010110110101001000100100100000
0000010010111000110010110101010000000111011100001111101111111111110100000000001100001110100101100101011001110011010110010010001000010100101101000100
1000011011111110111111110010101110100110010101100000000110111100101010010100100000000110100100101010100101101110100010110010010100110101010000000000
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0
,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0
,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0
,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1
,0,0,1]
mindist=68
weight enumerator=1 [0]  784 [68]  188 [72]  693 [76]  61 [80]  294 [84]  6 [88]  21 [92]  

ternary q=3

q=3 k=11 n=113 d=63

(extension of a code)
( link )

generator matrix:
00111111110001111111011111111100000111110001111111000111111111000011111100000001110000011111001111111100000011111
11011122221110011222000011122201111001120110012222001011122202011100122200011111220011100012110000122201111101120
22002201221221211002001200001210001111121121100122001201201202012200011201122222120111202221000011100101112202200
12100220022222012222011201211201111011120200120112010211022201010222100011101221201201210110021202000010000021211
00222021201021022011021001100111110110012112011200022211200001100202212200102011212110001002101121022010022212202
02100211202022002002102021212100220010102111001210111202101021200122010122010112001111210111111010002221101220111
10220210221211222100100211000112000111221110111001011222122020110120221111211001001011001102021110020101112021122
00200220221110212020211212021000122022212101220200111211121010201002121000111122221122110122020021222210222220021
20020021100100120012220112022200022120021022002011221110112202020020101001001212211120021212002011210212210100121
00101112021021021012010222020001101220210111001122120111211110000010220201110201202212001112200000102121201020112
10202121222202212111020221111101120121222110200201111200202122011202101222111120111001221210122011202210202001200
mindist=63
weight enumerator=1 [0]  2792 [63]  8354 [66]  18330 [69]  33038 [72]  40840 [75]  37794
 [78]  23692 [81]  9410 [84]  2340 [87]  480 [90]  72 [93]  4 [102]  
This is a self-orthogonal code

q=3 k=12 n=125 d=69

(extension of a code)
( link )

generator matrix:
00000000011111111111110000000111111111111111000000111111111111111110000000111111111111111000111111111111111111100111111111101
00000111100001111122220011111000011112222222001111000011112222222220111111000111111222222111000000011111122222201000011112110
00111001200220112200221100011112201220001222110022112201120001112221000122002112222001122122000122200122201111202001101120202
11011022202011010211220000112011202020112012120102012221200010001220112012001110012122202112011200211100101112010111210222110
12002020111222201012120102220120100222122012110012120121102202220220120112110120201100111022001002001001020021100222222222202
10222001010220101220022211000101012110122111221010222102011100110101111222020001121112112002222110222102010211101120100110122
12200121220210011010222112111201220212001212000211200111021221120201222022102202102121121022110222101201000211101200102022000
12101010110101222210110102100100102102022121012021121012212000001011002112221222002020120202112011000222101121010121000011220
12111210121002212211120022221211222022002200221002112012011000001121121012001110201012102100010010122002210211102010112010202
00211120021102200220020111222120021121020012111001012111101022211012111021121220210221110200122220110011022120100102100221220
01002210212111222121000101012101022202021221022020102112200202200111120202002000210001000102120110121211120010201112201122101
20202210021010212020201011012011022120101022101001220220002102111012112000201022012001100100211100210200120110122121121010101
mindist=69
weight enumerator=1 [0]  4628 [69]  12738 [72]  34100 [75]  70488 [78]  108042 [81]  117194
 [84]  99176 [87]  55264 [90]  23012 [93]  5610 [96]  1012 [99]  132 [102
]  44 [105]  
This is a self-orthogonal code

q=3 k=11 n=146 d=84

(extension of a code)
( link )

generator matrix:
00000011111111111111000001111111111111110000000011111111111100000000111111111111000000001111111111110000111111111111111100111000001111111111111110
00111100000111122222001110000011112222220000001100001122222200011111000001112222000111110000011122220011000000111122222201012001110000111111112221
00001201222011200012110020001200110111120000111201120000222201100122001110011122111122221112212201220102111122001200111200122110020122001112220001
11222002012202101112010220010122021011220011022120020211022210222100000120121101022000110021101112011120011112122101122012200010202101010021120022
02122120222100121202201000111201221101220101120210200212100110022202002201100202200212020202201210000222111200100010112202210202002101212221212212
01110221211122000122202102221121021021001020022112100210122221222100020000001112201120011010210010120000102111022102112202100100212210220022121101
21001020100100200122020112121011220210121111222110012222101221001000000212202012222110021221110020002222002100010220220112002200122222210102000022
12001011020212201220010201120221200212000101102121022112102021222221220202002112001102112002101201112202110221122101100201120221101111102010201211
01202122022102112221022022222212202221112022110020101121102111111012121212002112002100101102222210022000221011111000220212222212121112000012120101
00101110211222201222200021102211020200012111120112102212111121212110202020022022210120201020020012020222111211100010002221010121021201210020211001
12022010102000212201002112022000111200220112012220010121221010121212211221200010121212001010102100212011201011111100221100012020101222012012002120
mindist=84
weight enumerator=1 [0]  3410 [84]  7980 [87]  16624 [90]  26110 [93]  36166 [96]  33970
 [99]  27720 [102]  16870 [105]  6410 [108]  1450 [111]  310 [114]  80
 [117]  44 [120]  2 [126]  
This is a self-orthogonal code

q=3 k=9 n=146 d=84

(extension of a code)
( link )

generator matrix:
00000000011111110000001111111111000000001111111100000111111111110000011111111111000000111111111111110000001111111111000000011111111100011111111111110
00011111101122220001110000112222011111110111222200011000001222220111100111122222111111000011222201120011110011111122000011100112222211100000111111221
01100112220101120110221122121222100001122012001201122122221000220011222002201122000122111200000200220101111200111202011101101010011201100122011222002
11202021212002221110120112100112100120012201002210102101222022120001112021200202000011002212022100000110020201012120101221210120122001201000112012010
21112022001200021020212211201122101221210100111000202202012201000212021212120020012111110022222222221021110121021211110102201201112112212200111120210
20022222012021101100100200211001022202021111011200210111010102011021221210120200212011121100001122000122212011002202111200200100020021100000210002021
01210200122001122200001101022121100121222011201022210222002102202011020010121222012101001100212122222021212000112002012112012211010112122212202020110
21012110010021210100021121011222201202112111000022000112020012112010022010112011121001021222200220202000211110110212211101000012201012111001000112120
11001221221010200202212002120212202122010222222010112022201020000210002001021210100000121210110002100011111210022202211022012120211211100202122000121
mindist=90
weight enumerator=1 [0]  1844 [90]  2608 [93]  3568 [96]  2968 [99]  3904 [102]  2800 [105
]  1188 [108]  544 [111]  256 [114]  2 [117]  
This is a self-orthogonal code

q=3 k=9 n=176 d=108

(extension of a code)
( link )

generator matrix:
00000000111111110000011111111111010000011111111111000001111111111100000011111111110011111111111111100000000111111110001111100000000111111110000011111111111000000000111111101110
00011111000222221111101111122222121111100011122222011110011111112201111100111122221100011111222222200000111001112220110112200011111111111220111100111111122000011111001111211101
00100012122022220000220112202222120112200200011222001220100011221210222201022201220201200011011222100111011020120111121010101100122001122010012202001112201111100112220122022110
01212212001200220122100021202222020120111001222022000122011212110220012211102221220001011102012001211011012212212122101100211102112220002011110101020121210012200000021101002220
00200210012001121000010212120122020220202102101111112211212112001112110210210012011101001222011011100012210122202202021021001221100220021211001221021102120112222020100120110202
02021111110011000211200000212212121000102012210212211122200122012112012001202221112011021211212101102212211010010022022102111200111011221121002201020022222111101200112102222110
01012221201000222201122022020100120202022012011022222221110112020012010002110121102121201100222110020211111201022220220221112202201002202100011100211220100201211020201210000122
00010200102102112220220001201202011001202202001001220000021120010212100011222020210021210021122202220122210001100110001111120102212100102222001120210121201102020011120122220101
11121101021200100021121200201101100102221111220200101100111011222011020110102221010000201120000002111211112110021021122121211211110020201010212101200210122220011222220210001202
mindist=108
weight enumerator=1 [0]  1456 [108]  3416 [109]  3492 [117]  7336 [118]  1512 [126]  2304
 [127]  100 [135]  64 [136]  2 [172]  

q=3 k=9 n=186 d=114

(using automorphisms)
( link )

code with group 58821

generator matrix:
000111111111111100011111000000001111111100000011111111110011111111111111000001111111111100000000011111110001111111111111000001111111111101111111111111110000011111111111000000111111111101
001000001112222200111222001111110001122200111100012222221100000111122222011110000111222200111111111112220010001111222222011110000111222200000000011111220111100000111122001111000001112211
010011221220012211102222010011221122201201000201120111120001122001200122100020112012002211011122201120121110110112000022100220112122012210001111200112021011201122001202110112011120110001
001212021010010211012012001212020112222212011202221001220111100122201112111222112111011101212201100002010121001122122201002110121122110100110001212020112102111200001100011021101201221200
012121202112201202120101102111122120211112012020122022001012201120210220111221012122011222220201210222221021122120000101120222112112111012020022122200000200220201022010001022110002010002
022002012000221011211021222001100111020022012001102202200100121001201210022121101110202222122100212122202201201210212211120121122000020010020201101121101201111012110010022021101012212001
001021022121200121111122120210100011222220102010221212000120000022000010100221121100012101001002111221011001202210220110010200122111201220222111001011210101100101121211122021221220012202
022012121010210201122112000122102111010220110202110210210210202121022100002110002120121200201110210001202200000222010102110112011220112201222120100221110000201110102200202110011002221111
112020022011211020202100100200111010101221212221022212002100220120200210201220022022122202021120021100110102220202022220002001010221021210110211200010120200100212112000010022011011211120
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0]
mindist=114
weight enumerator=1 [0]  1792 [114]  2688 [117]  3082 [120]  3120 [123]  3076 [126]  2628
 [129]  1904 [132]  800 [135]  392 [138]  168 [141]  32 [144]  

q=3 k=10 n=190 d=114

(using automorphisms)
( link )

code with group 132159

generator matrix:
0000011111111111000000001111111100000000111111110001111111111111011100000111111111110000000001111111000000111111111100111111111111110000011111111111000111111111111100011111111111110111011101
0111101111122222011111110112222200001111000011221111111122222222101211111001112222220000111110012222000111000112222211001112222222220011100000012222011000001111222211100000011222221012011110
0001220001200222101122221000011201110122001212021220122200111222022201222021120001220011000010220012011012022000112202110110001111120100100011200112102001120002000102200002201000112021101201
1011020010202112211200020021201210112101122121022000022202002012120122001110120011011111011210000121001202012020110000121220110011201111000200112110012010220222012221111221202112010111022211
1120000111101011212202200100022202110001022101222021111201111211101222121220221101200202012002200220002112000002022201110222010102012002002122122010011112211022222200102220220221110000210222
0001110002111102021100122002011012020222011222011212212000022211101211101010110222120101220111202211100020022212010221101120102100002220210012210212021011012112111022120010112120111012011100
0002010222001002102222112212021010112220010111002000222220112021000011211222112021001102012010122012100021202011222210000221112211002111111200120000021211211120212100221002111012122021202112
1221000020001002221001102220011000122211121212022001112011020211112011102222011121200110021212100211200222021121201010212020221101001110120111010002210020102122000010221002002111211201202121
0111120000011111200201020022211220222222112000000211212012220001202101100012102221021112010100021221020222001222102120220121200222002120222221012220121000001011110000000201202001001201011112
2121002221200012020101210001001120022022222020222121022111212200202110212010211101200110211111021122020100020012020212102100101120122220122202200011220000222011101202021101201012011012221020
corresponding to the solution:
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0]
mindist=114
weight enumerator=1 [0]  2672 [114]  4240 [117]  6592 [120]  8128 [123]  10456 [126]  10324
 [129]  7680 [132]  5136 [135]  2596 [138]  1000 [141]  192 [144]  32 [150
]  

q=3 k=12 n=202 d=117

(extension of a code)
( link )

generator matrix:
0000000000111111111111000000000111111111111110000111111111111111111000000111111111111111100000011111111111111110000000001111111111111000000011111111111111100000000000011111111110000000001111111111111101
0011111111000011112222000111111000111122222220111000000000111222222011111000000111112222200011100000001112222220111111110000011111222011111100000111112222201111111111100111112220000111110000011122222011
0111122222001201122222111112222002001100122220000000111222012001122101222001112001120222211102211122220010001221000222220012201122222100000001122000120001200000111112201001120121111000120111200100011202
0122200022012200200122011021122121120111211221022122002122112012212022222220221000011011211101201102221220010011012000120210100202111011122210122012110220000222001111211221121000000022010001012102201011
0202211111101200101102222112212110112012012222012001022112111111111020012120021110222212101200110120221212211022000012002211012111002202201201100200101002111222011111201020220010000201211021110020222202
1200201200200020211112111020011020020200221202211200000011212222210200220021010010112122011111112202011201101001202101211010102022120210111112112220000012101022111221210001001211112200221100121120202221
0200022012102220221222202201112101200102221002010020212212112001202010021211011102101210121222212210201010010010120002202201111002020020100210120122222111010122100012100112000201120221021222021212102000
2211221122221210221200100101221200110010101112001102221100010102200101121221110022112022211000112221200111202102111122210210021200101111002210000001222210121202002000110110220211101211001110000011120022
0111111120110000102121002110002002212000002222002210111120002022000221011102212120020012102101212112210200211010010002001022101200101021201010102120221220212220021000012201120200002102000200020220222202
1221111221200001012210011100200120212002112011011222011200210111020121202010201221212222121011020100210112110120211012202000201222020011120121201212202020102000202100120021222111220221201221012022001022
1111220120011020210011202100022112102121120211212111022120102122120122102210002201022212220002002001020002112020001221022200210112020202120020222221021010101110011222000010221101010200120211110121000101
1022001110120211102101112100011100202112000112022122000002020012201102101122002012221012101001202101111222211021211210221221121201102221111020211111210011101212221001221012201102002121021200222220222101
mindist=117
weight enumerator=1 [0]  3388 [117]  10934 [120]  21604 [123]  42042 [126]  63492 [129]  
84128 [132]  91462 [135]  89034 [138]  63800 [141]  34650 [144]  18502
 [147]  6160 [150]  1672 [153]  396 [156]  132 [159]  44 [162]  
This is a self-orthogonal code

q=4

q=4 k=5 n=72 d=52 optimal

(using automorphisms)
( link )

code with group 4189

generator matrix:
[[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:
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[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]
]
[[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
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]
[[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[0,1]:[1,0]:[1,1]:[0,1]:
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]
[[1,1]:[0,0]:[0,1]:[1,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:
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[0,0]:[0,0]:[0,0]:[1,0]:[1,1]:[0,1]:[1,0]:[1,1]:[0,1]:[0,1]:[1,0]:[1,1]:
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]
[[0,0]:[0,0]:[1,1]:[1,0]:[0,1]:[0,1]:[1,0]:[1,1]:[1,1]:[1,0]:[0,1]:[0,1]:
[1,1]:[1,0]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[1,1]:[1,0]:[0,1]:[0,1]:[0,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[1,0]:[1,0]:[1,0]:
[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[0,0]:[0,0]:[0,0]:
[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[1,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]
]

corresponding to the solution:
[0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0
,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0]
mindist=52
weight enumerator=1 [0]  675 [52]  207 [56]  105 [60]  36 [64]  

q=4 k=9 n=111 d=72

(extension of a code)
( link )

generator matrix:
[[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
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[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]:[1,1]:[1,1]]
[[0,0]:[1,1]:[1,1]:[0,0]:[0,0]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:[1,0]:[1,0]:
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[1,1]:[0,0]:[0,1]]
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[[0,0]:[1,1]:[0,0]:[0,1]:[1,0]:[1,0]:[1,0]:[0,0]:[0,0]:[1,0]:[0,0]:[1,0]:
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mindist=72
weight enumerator=1 [0]  5565 [72]  26694 [76]  68283 [80]  88872 [84]  57375 [88]  14220
 [92]  1128 [96]  6 [108]  

q=4 k=9 n=123 d=80

(extension of a code)
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mindist=80
weight enumerator=1 [0]  4110 [80]  21705 [84]  54738 [88]  86766 [92]  66855 [96]  24165
 [100]  3525 [104]  276 [108]  3 [120]  

q=4 k=8  n=124 d=84

(extension of a code)
( link )

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mindist=84
weight enumerator=1 [0]  5280 [84]  12549 [88]  19485 [92]  18345 [96]  8520 [100]  1305
 [104]  48 [108]  3 [124]  

q=4 k=8 n=155 d=106

(using automorphisms)
( link )

code with group 126694

generator matrix:
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corresponding to the solution:
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,0,0,0]
mindist=106
weight enumerator=1 [0]  2928 [106]  3969 [108]  5670 [110]  5355 [112]  9156 [114]  8190
 [116]  10290 [118]  6405 [120]  6363 [122]  3927 [124]  2520 [126]  504
 [128]  126 [130]  63 [132]  63 [136]  3 [148]  3 [154]  

q=4 k=9 n=228 d=156

(extension of a code)
( link )

generator matrix:
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mindist=156
weight enumerator=1 [0]  5715 [156]  18933 [160]  34035 [164]  54231 [168]  63054 [172]  
49116 [176]  26250 [180]  8595 [184]  2025 [188]  180 [192]  6 [196]  3
 [212]  

q=5

q=7

q=8

q=8 k=5 n=48 d=38

(using automorphisms)
( link )

code with group 61277

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[0,0,1]:[1,1,0]:[0,1,1]:[0,1,0]:[1,0,1]:[0,1,1]:[1,1,0]:[0,1,1]:[1,0,0]:
[1,1,0]:[0,0,0]:[1,0,1]:[0,0,0]:[0,0,0]:[1,1,0]:[1,0,0]:[1,1,1]:[0,0,1]:
[1,1,1]:[1,1,1]:[0,0,0]:[0,0,1]:[1,0,0]:[1,1,1]:[0,0,0]:[1,0,1]:[0,1,1]:
[1,0,0]:[1,1,1]:[0,1,0]:[0,0,1]:[1,1,1]:[0,0,1]:[0,0,0]:[1,0,1]:[1,1,1]:
[0,0,1]:[0,0,1]:[1,0,0]]
[[0,0,0]:[1,1,1]:[1,0,1]:[0,1,0]:[1,0,0]:[1,1,0]:[1,1,0]:[1,1,0]:[1,0,1]:
[0,1,1]:[1,1,1]:[0,0,1]:[0,0,0]:[0,1,0]:[1,0,1]:[1,1,1]:[1,0,0]:[0,1,1]:
[1,1,1]:[1,0,0]:[0,0,0]:[0,0,0]:[0,1,0]:[0,1,0]:[0,1,1]:[0,0,1]:[1,0,1]:
[0,1,1]:[0,1,1]:[0,0,0]:[1,0,0]:[0,0,0]:[1,1,0]:[0,1,0]:[0,0,1]:[0,1,0]:
[0,0,1]:[1,0,0]:[0,0,0]:[1,0,0]:[1,0,1]:[0,0,1]:[0,1,0]:[0,0,0]:[0,1,1]:
[0,1,0]:[1,1,0]:[1,1,0]]
[[1,1,1]:[1,1,1]:[0,1,0]:[0,0,1]:[1,1,1]:[0,1,1]:[1,0,0]:[0,0,1]:[0,1,0]:
[0,1,0]:[0,0,0]:[0,0,1]:[1,0,0]:[1,0,0]:[1,1,1]:[0,1,0]:[1,1,0]:[0,1,1]:
[1,0,1]:[0,1,0]:[0,1,0]:[1,1,0]:[1,0,0]:[1,0,1]:[0,1,1]:[0,0,0]:[0,1,1]:
[0,0,1]:[1,0,1]:[0,0,1]:[0,0,0]:[1,0,0]:[1,1,0]:[0,1,0]:[0,0,0]:[0,0,0]:
[1,1,1]:[1,0,1]:[0,0,1]:[0,1,1]:[1,1,1]:[0,1,0]:[0,0,0]:[1,0,0]:[0,1,1]:
[1,0,0]:[1,1,0]:[1,0,0]]

corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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mindist=38
weight enumerator=1 [0]  4200 [38]  5670 [40]  11760 [42]  8232 [44]  2856 [46]  49 [48]  

q=8 k=6 n=59 d=45

(using automorphisms)
( link )

code with group 127877

generator matrix:
[[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]]
[[0,0,0]:[0,0,1]:[0,1,0]:[1,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:
[0,0,1]:[0,1,0]:[1,0,1]:[1,1,0]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,1]:[1,0,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,1]:[0,0,1]:[0,1,1]:[0,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[0,0,0]:[0,1,1]:[1,1,0]:[1,1,0]:[1,1,0]:[1,1,1]:[1,1,1]:
[0,0,1]:[0,0,1]:[0,0,1]:[0,1,0]:[1,0,1]:[1,1,1]:[1,1,0]:[1,1,1]:[0,0,0]:
[0,0,1]:[1,0,0]:[1,1,0]:[1,1,0]:[1,1,0]:[1,1,1]:[0,0,0]:[0,1,0]:[0,1,0]:
[0,1,0]:[0,1,1]:[1,1,0]:[1,0,0]:[0,0,0]]
[[1,0,0]:[0,1,1]:[0,1,1]:[0,0,0]:[1,0,0]:[1,1,1]:[1,1,1]:[1,0,1]:[1,0,1]:
[1,0,0]:[0,0,0]:[1,1,0]:[1,0,1]:[1,1,0]:[0,0,1]:[0,0,1]:[1,0,1]:[1,1,0]:
[0,0,1]:[1,0,1]:[1,1,0]:[0,0,0]:[0,1,0]:[1,0,0]:[0,1,1]:[1,1,1]:[1,0,1]:
[1,1,0]:[1,0,0]:[0,1,0]:[0,0,0]:[1,0,0]:[1,0,1]:[1,0,1]:[1,0,0]:[0,0,0]:
[0,0,1]:[0,1,0]:[1,0,0]:[1,1,0]:[1,0,1]:[0,1,1]:[1,0,1]:[0,1,1]:[1,0,1]:
[1,1,0]:[1,0,1]:[0,0,0]:[0,1,0]:[0,1,0]:[0,0,1]:[0,0,1]:[0,0,0]:[0,1,0]:
[0,1,0]:[1,0,1]:[0,0,1]:[1,1,0]:[1,1,1]]
[[1,0,1]:[1,0,0]:[1,1,0]:[0,0,0]:[1,1,0]:[1,1,0]:[1,1,1]:[0,0,0]:[0,0,1]:
[1,0,1]:[1,0,0]:[1,0,0]:[0,0,1]:[1,0,1]:[0,0,1]:[1,0,0]:[0,1,0]:[1,1,1]:
[0,1,0]:[0,1,1]:[0,1,0]:[1,1,1]:[1,0,0]:[0,0,0]:[0,1,0]:[1,0,1]:[0,1,0]:
[0,1,0]:[1,0,0]:[1,1,1]:[1,1,1]:[1,0,0]:[0,0,0]:[1,1,1]:[1,1,0]:[0,0,0]:
[1,1,1]:[0,1,0]:[1,0,1]:[1,1,1]:[0,1,0]:[1,0,1]:[1,1,1]:[1,0,1]:[1,0,1]:
[0,0,1]:[0,0,0]:[1,0,0]:[0,1,0]:[1,1,0]:[1,1,0]:[1,1,0]:[0,0,1]:[0,0,0]:
[1,0,1]:[1,1,1]:[0,1,1]:[1,0,1]:[0,0,0]]
[[1,0,1]:[1,1,0]:[1,0,0]:[0,1,0]:[1,1,1]:[0,1,1]:[0,0,1]:[1,1,1]:[0,0,1]:
[1,1,0]:[0,1,1]:[0,1,0]:[1,0,1]:[1,0,0]:[1,1,1]:[1,0,1]:[1,1,1]:[1,0,0]:
[0,1,0]:[0,0,1]:[1,1,0]:[0,0,1]:[1,1,0]:[1,1,1]:[0,1,1]:[1,0,1]:[0,0,1]:
[1,0,0]:[0,1,0]:[1,1,1]:[1,0,1]:[0,1,1]:[0,1,0]:[1,1,0]:[1,0,0]:[0,0,1]:
[1,1,0]:[1,1,1]:[0,0,1]:[1,0,1]:[0,1,0]:[0,1,1]:[1,1,0]:[0,1,1]:[0,1,0]:
[1,0,0]:[0,0,1]:[1,1,0]:[0,1,1]:[1,1,1]:[1,1,0]:[0,0,1]:[0,1,1]:[1,0,1]:
[1,1,1]:[0,1,0]:[1,0,0]:[1,0,1]:[0,0,0]]
[[0,1,0]:[0,1,1]:[1,1,1]:[1,0,0]:[1,1,0]:[0,0,1]:[1,0,1]:[0,0,1]:[1,0,0]:
[1,0,1]:[0,1,0]:[1,1,0]:[1,1,1]:[0,1,1]:[1,0,0]:[0,0,1]:[1,0,0]:[0,1,0]:
[1,0,1]:[0,1,1]:[1,1,1]:[1,1,1]:[0,1,0]:[1,0,1]:[1,0,0]:[1,1,0]:[1,1,1]:
[0,0,1]:[1,1,1]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,1]:[0,0,1]:[1,1,0]:[0,0,0]:
[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[1,0,0]:[0,1,1]:[0,1,0]:
[1,0,0]:[0,0,1]:[1,1,0]:[0,1,1]:[1,1,1]:[1,0,0]:[1,1,0]:[1,1,1]:[0,1,1]:
[0,1,0]:[0,0,1]:[1,0,1]:[1,0,1]:[0,0,0]]

corresponding to the solution:
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mindist=45
weight enumerator=1 [0]  2744 [45]  5292 [46]  9359 [47]  14749 [48]  20237 [49]  29708 [50
]  37380 [51]  40278 [52]  39592 [53]  30282 [54]  19061 [55]  9380 [56
]  3339 [57]  742 [58]  

q=8 k=5 n=74 d=60

(using automorphisms)
( link )

code with group 107973

generator matrix:
[[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]]
[[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:
[1,1,0]:[1,1,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:
[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[0,1,0]:
[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:
[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:
[1,1,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:
[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[0,1,0]:[0,1,1]:
[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:
[1,1,0]:[1,1,1]]
[[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:
[0,0,0]:[0,0,0]:[1,1,1]:[0,1,0]:[1,1,0]:[1,0,1]:[1,0,0]:[0,1,1]:[0,0,1]:
[1,1,1]:[0,1,0]:[1,1,0]:[1,0,1]:[1,0,0]:[0,1,1]:[0,0,1]:[1,1,1]:[0,1,0]:
[1,1,0]:[1,0,1]:[1,0,0]:[0,1,1]:[0,0,1]:[1,0,0]:[1,0,1]:[1,1,1]:[0,0,1]:
[0,1,0]:[1,1,0]:[0,1,1]:[0,0,1]:[1,1,0]:[1,0,1]:[1,1,1]:[0,1,1]:[0,1,0]:
[1,0,0]:[0,0,1]:[1,1,0]:[1,0,1]:[1,1,1]:[0,1,1]:[0,1,0]:[1,0,0]:[0,1,0]:
[0,0,1]:[1,0,0]:[0,1,1]:[1,0,1]:[1,1,1]:[1,1,0]:[1,0,1]:[0,1,1]:[0,1,0]:
[1,1,0]:[0,0,1]:[1,0,0]:[1,1,1]:[1,0,1]:[0,1,1]:[0,1,0]:[1,1,0]:[0,0,1]:
[1,0,0]:[1,1,1]]
[[1,1,1]:[0,1,0]:[0,1,1]:[1,0,1]:[1,1,1]:[0,1,0]:[1,1,0]:[1,0,1]:[1,0,0]:
[0,1,1]:[0,0,1]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:
[1,1,1]:[0,1,0]:[1,1,0]:[1,0,1]:[1,0,0]:[0,1,1]:[0,0,1]:[0,1,1]:[1,1,1]:
[0,0,1]:[1,0,0]:[1,1,0]:[1,0,1]:[0,1,0]:[0,1,1]:[1,1,1]:[0,0,1]:[1,0,0]:
[1,1,0]:[1,0,1]:[0,1,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:
[0,0,0]:[1,1,0]:[1,0,0]:[0,1,1]:[0,1,0]:[1,1,1]:[0,0,1]:[1,0,1]:[0,1,1]:
[1,1,1]:[0,0,1]:[1,0,0]:[1,1,0]:[1,0,1]:[0,1,0]:[1,1,1]:[0,1,0]:[1,1,0]:
[1,0,1]:[1,0,0]:[0,1,1]:[0,0,1]:[1,0,1]:[0,1,1]:[0,1,0]:[1,1,0]:[0,0,1]:
[1,0,0]:[1,1,1]]
[[0,0,0]:[0,0,0]:[0,0,0]:[0,0,0]:[1,0,0]:[0,1,0]:[0,0,1]:[1,1,0]:[0,1,1]:
[1,1,1]:[1,0,1]:[0,0,1]:[0,1,1]:[1,1,1]:[0,1,0]:[1,0,0]:[1,0,1]:[1,1,0]:
[1,0,0]:[0,1,0]:[0,0,1]:[1,1,0]:[0,1,1]:[1,1,1]:[1,0,1]:[0,1,0]:[1,0,1]:
[0,1,1]:[1,1,1]:[1,1,0]:[1,0,0]:[0,0,1]:[0,1,1]:[1,1,0]:[1,0,0]:[1,0,1]:
[0,1,0]:[0,0,1]:[1,1,1]:[1,1,1]:[1,0,0]:[1,0,1]:[0,1,1]:[0,0,1]:[1,1,0]:
[0,1,0]:[1,0,1]:[0,0,1]:[1,1,0]:[1,0,0]:[1,1,1]:[0,1,0]:[0,1,1]:[1,1,1]:
[1,0,0]:[1,0,1]:[0,1,1]:[0,0,1]:[1,1,0]:[0,1,0]:[0,1,1]:[1,1,0]:[1,0,0]:
[1,0,1]:[0,1,0]:[0,0,1]:[1,1,1]:[1,1,0]:[1,1,1]:[0,1,0]:[0,0,1]:[1,0,1]:
[0,1,1]:[1,0,0]]

corresponding to the solution:
[0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1
,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,1,0,0,0]
mindist=60
weight enumerator=1 [0]  4039 [60]  4802 [62]  8134 [64]  8554 [66]  5341 [68]  1638 [70
]  245 [72]  14 [74]  

q=8 k=6 n=97 d=77

(using automorphisms)
( link )

code with group 127886

generator matrix:
[[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[0,0,0]:[0,0,0]:[0,0,0]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,1]:[1,1,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]]
[[0,0,0]:[0,0,1]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[1,1,1]:[0,0,1]:
[1,0,0]:[1,0,1]:[1,1,0]:[1,1,1]:[1,1,1]:[1,1,1]:[0,1,0]:[0,1,1]:[1,0,0]:
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[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,1]:[1,0,0]:[1,1,0]:[1,1,1]:[1,1,1]:
[1,1,1]:[0,0,1]:[0,1,0]:[0,1,0]:[1,0,0]:[1,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:
[0,0,1]:[0,0,1]:[1,1,0]:[1,1,1]:[1,1,1]:[0,0,1]:[0,0,1]:[0,0,1]:[0,1,0]:
[0,1,1]:[1,1,0]:[1,1,1]:[1,1,1]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[1,0,1]:
[1,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[0,0,0]:[0,1,0]:[0,1,1]:[1,1,1]:[1,1,1]:
[0,0,0]:[0,1,1]:[1,0,0]:[1,0,1]:[1,1,0]:[1,1,0]:[1,1,0]:[1,1,0]:[0,0,0]:
[0,0,0]:[0,0,0]:[0,1,1]:[1,0,1]:[1,1,0]:[1,1,0]:[1,1,1]:[0,0,0]:[0,1,0]:
[0,1,0]:[1,0,0]:[1,0,0]:[1,1,0]:[0,0,1]:[0,0,0]:[1,1,1]]
[[0,1,0]:[1,1,0]:[0,0,1]:[1,1,0]:[0,1,1]:[1,1,1]:[1,1,0]:[0,1,1]:[0,1,0]:
[1,0,1]:[1,1,1]:[0,0,1]:[0,1,0]:[1,1,1]:[0,0,1]:[1,1,1]:[0,1,1]:[0,1,1]:
[1,1,1]:[0,1,1]:[1,1,1]:[0,1,1]:[0,0,0]:[0,0,1]:[0,0,0]:[1,0,1]:[1,0,0]:
[0,1,1]:[0,1,1]:[1,0,0]:[1,0,1]:[0,0,0]:[0,0,1]:[1,0,1]:[0,0,0]:[0,1,1]:
[0,0,0]:[1,1,0]:[1,0,1]:[1,1,0]:[1,0,1]:[1,1,1]:[0,1,0]:[0,1,1]:[0,1,1]:
[1,1,0]:[1,1,0]:[0,1,1]:[0,0,1]:[0,1,0]:[0,0,0]:[0,0,0]:[0,1,1]:[1,0,0]:
[1,0,1]:[0,1,0]:[0,0,1]:[0,0,0]:[0,0,0]:[0,1,0]:[0,0,1]:[1,1,1]:[1,1,0]:
[0,0,1]:[0,0,0]:[1,0,1]:[1,0,1]:[1,1,1]:[0,1,0]:[0,1,0]:[0,0,0]:[0,0,0]:
[1,0,0]:[0,0,1]:[0,0,0]:[1,1,0]:[0,0,0]:[0,1,0]:[1,1,1]:[1,0,1]:[0,0,1]:
[1,0,0]:[1,0,1]:[0,0,1]:[0,0,1]:[0,1,0]:[1,0,0]:[0,0,0]:[0,1,1]:[0,0,0]:
[0,0,1]:[0,0,1]:[1,1,1]:[1,0,0]:[1,1,1]:[0,0,0]:[0,0,0]]
[[0,1,1]:[0,1,0]:[1,1,1]:[0,1,0]:[1,0,0]:[1,0,1]:[0,1,0]:[0,0,1]:[1,1,1]:
[1,0,1]:[0,1,1]:[0,1,1]:[1,0,1]:[1,1,0]:[0,1,0]:[1,1,0]:[1,1,0]:[0,1,1]:
[1,1,0]:[1,0,1]:[1,1,1]:[1,0,1]:[1,1,0]:[0,1,1]:[0,1,1]:[0,0,1]:[1,0,1]:
[0,0,1]:[0,0,1]:[0,0,0]:[0,0,1]:[0,1,0]:[0,1,1]:[1,0,0]:[0,0,1]:[0,0,0]:
[1,1,0]:[0,0,0]:[0,1,0]:[1,1,0]:[0,1,0]:[1,1,1]:[0,0,0]:[0,1,1]:[0,1,1]:
[0,0,1]:[0,0,1]:[0,1,0]:[0,0,0]:[0,0,0]:[0,0,1]:[1,1,0]:[0,1,0]:[1,0,1]:
[0,0,0]:[1,1,0]:[1,1,0]:[1,0,1]:[1,1,0]:[0,1,0]:[0,0,0]:[1,1,1]:[0,1,1]:
[0,0,0]:[0,0,1]:[1,0,1]:[1,1,1]:[1,0,0]:[0,1,0]:[1,0,1]:[0,1,1]:[0,0,0]:
[0,1,1]:[0,1,1]:[0,1,0]:[1,1,0]:[0,1,1]:[1,0,1]:[0,0,1]:[0,1,1]:[0,1,1]:
[0,1,0]:[1,1,1]:[0,1,0]:[0,1,0]:[0,0,1]:[0,1,1]:[1,0,1]:[0,1,0]:[1,0,1]:
[0,0,1]:[1,0,0]:[1,1,1]:[0,1,0]:[0,0,1]:[0,0,0]:[0,0,0]]
[[0,0,0]:[1,0,0]:[0,1,0]:[0,1,1]:[1,1,1]:[1,0,1]:[0,0,1]:[0,1,0]:[1,0,0]:
[0,0,1]:[1,0,1]:[0,1,1]:[1,1,0]:[0,0,0]:[0,1,0]:[0,1,0]:[1,0,0]:[1,1,1]:
[0,1,1]:[0,0,0]:[1,1,0]:[0,0,0]:[0,0,0]:[1,0,0]:[1,1,1]:[1,0,1]:[1,0,1]:
[1,0,1]:[1,1,0]:[0,1,1]:[0,0,1]:[0,0,0]:[0,1,0]:[0,1,1]:[1,1,1]:[0,1,1]:
[1,0,1]:[1,1,1]:[0,0,0]:[1,0,1]:[0,1,1]:[1,1,1]:[1,1,1]:[1,1,1]:[1,0,1]:
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[0,1,0]:[1,0,1]:[1,0,1]:[0,1,0]:[1,0,1]:[0,0,0]:[0,1,0]:[1,0,0]:[0,0,0]:
[0,0,0]:[1,1,1]:[1,0,0]:[1,1,0]:[1,0,0]:[0,1,0]:[1,1,0]:[0,0,0]:[0,1,1]:
[0,0,0]:[0,1,0]:[0,1,1]:[1,0,0]:[1,1,0]:[0,0,1]:[0,0,0]:[0,1,0]:[1,0,0]:
[0,1,0]:[0,0,1]:[1,0,0]:[1,0,1]:[0,0,0]:[0,0,0]:[0,0,0]]
[[1,1,0]:[1,1,0]:[1,0,0]:[0,1,1]:[1,0,1]:[0,1,1]:[0,1,1]:[1,0,1]:[1,1,1]:
[1,1,0]:[1,0,0]:[0,1,1]:[0,1,0]:[1,0,1]:[1,0,1]:[1,1,1]:[1,0,1]:[1,0,1]:
[0,0,1]:[0,1,0]:[1,1,0]:[0,0,0]:[1,1,1]:[1,0,0]:[1,0,0]:[1,1,0]:[0,1,1]:
[1,0,0]:[0,1,1]:[0,1,1]:[1,0,1]:[0,0,1]:[1,1,1]:[1,1,1]:[1,0,0]:[1,0,0]:
[0,1,1]:[1,0,1]:[0,0,1]:[1,0,0]:[1,1,0]:[1,1,0]:[1,1,1]:[0,1,1]:[0,1,0]:
[0,1,1]:[0,0,1]:[1,0,1]:[1,0,0]:[1,0,0]:[0,1,0]:[1,1,0]:[0,1,1]:[0,1,1]:
[1,1,1]:[0,1,1]:[1,1,1]:[1,0,0]:[0,1,0]:[1,1,0]:[0,0,1]:[1,0,1]:[1,0,1]:
[1,1,1]:[0,1,0]:[0,0,1]:[0,0,1]:[1,1,0]:[1,0,0]:[0,1,0]:[1,1,0]:[0,0,0]:
[1,1,0]:[1,1,0]:[0,0,1]:[1,0,0]:[1,0,0]:[1,1,1]:[1,1,1]:[0,0,0]:[1,1,0]:
[1,0,0]:[0,1,1]:[1,0,1]:[1,1,1]:[1,0,0]:[0,0,1]:[1,1,1]:[0,1,0]:[0,1,0]:
[1,1,1]:[1,1,1]:[1,1,1]:[0,1,1]:[0,0,0]:[0,0,0]:[0,0,0]]

corresponding to the solution:
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mindist=77
weight enumerator=1 [0]  3185 [77]  5047 [78]  7770 [79]  10661 [80]  15239 [81]  20629 [82
]  24255 [83]  27440 [84]  31066 [85]  32011 [86]  27055 [87]  21756 [88
]  16513 [89]  11025 [90]  5943 [91]  1862 [92]  637 [93]  49 [95]  

q=9

q=9 k=5 n=63 d=51

(using automorphisms)
( link )

code with group 78530

generator matrix:
[[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[0,0]]
[[1,1]:[0,1]:[1,1]:[2,0]:[2,1]:[2,2]:[0,0]:[1,1]:[0,0]:[1,2]:[2,0]:[2,2]:
[1,1]:[1,0]:[1,2]:[1,2]:[1,2]:[2,2]:[0,0]:[0,0]:[1,0]:[1,0]:[1,2]:[2,2]:
[0,1]:[0,1]:[1,1]:[1,1]:[2,1]:[2,2]:[1,1]:[2,2]:[0,0]:[0,0]:[1,1]:[1,1]:
[1,2]:[2,1]:[1,1]:[0,2]:[1,0]:[2,0]:[2,1]:[2,1]:[0,1]:[0,1]:[1,0]:[1,0]:
[2,0]:[2,1]:[0,1]:[0,2]:[1,0]:[1,1]:[1,1]:[2,1]:[0,0]:[0,0]:[0,1]:[1,1]:
[1,1]:[1,2]:[1,1]]
[[1,1]:[1,1]:[1,2]:[0,2]:[0,1]:[2,2]:[1,1]:[1,2]:[0,0]:[2,0]:[1,1]:[2,1]:
[1,2]:[1,0]:[0,0]:[0,1]:[0,2]:[2,1]:[1,1]:[0,1]:[2,1]:[2,2]:[0,0]:[0,2]:
[1,2]:[2,1]:[0,1]:[1,2]:[0,0]:[0,0]:[0,0]:[0,0]:[0,2]:[1,1]:[0,0]:[2,2]:
[0,1]:[2,1]:[2,1]:[0,2]:[0,1]:[2,2]:[1,0]:[1,2]:[1,0]:[2,0]:[0,0]:[1,2]:
[1,0]:[1,1]:[0,0]:[1,0]:[2,1]:[1,0]:[2,0]:[0,0]:[0,2]:[1,2]:[1,2]:[2,0]:
[2,1]:[2,0]:[0,0]]
[[0,0]:[2,1]:[2,0]:[0,0]:[1,0]:[1,0]:[0,1]:[1,1]:[1,2]:[1,1]:[2,0]:[1,2]:
[2,2]:[2,0]:[2,0]:[2,0]:[2,0]:[0,1]:[2,2]:[2,1]:[0,2]:[0,2]:[1,2]:[2,2]:
[0,0]:[1,2]:[0,1]:[1,2]:[0,0]:[2,1]:[0,0]:[0,0]:[2,2]:[2,1]:[0,1]:[1,1]:
[1,2]:[2,0]:[2,1]:[1,2]:[0,1]:[0,2]:[1,0]:[2,2]:[2,0]:[1,2]:[1,2]:[0,1]:
[1,1]:[0,2]:[2,0]:[1,0]:[2,1]:[0,0]:[1,0]:[0,0]:[2,0]:[1,0]:[0,1]:[0,0]:
[0,0]:[1,2]:[0,0]]
[[0,1]:[1,2]:[2,0]:[1,1]:[2,0]:[1,0]:[2,1]:[1,2]:[2,0]:[1,0]:[0,1]:[0,2]:
[2,1]:[0,1]:[1,2]:[1,2]:[2,2]:[2,1]:[1,0]:[0,2]:[2,1]:[2,1]:[1,1]:[1,2]:
[2,1]:[2,1]:[0,2]:[1,2]:[1,0]:[2,1]:[0,0]:[0,0]:[2,1]:[1,1]:[2,1]:[1,0]:
[0,2]:[2,2]:[2,2]:[1,0]:[1,1]:[1,0]:[2,2]:[1,0]:[2,2]:[0,2]:[2,2]:[2,1]:
[1,0]:[2,0]:[2,0]:[1,0]:[1,2]:[2,0]:[2,0]:[0,2]:[2,0]:[1,0]:[0,2]:[2,2]:
[2,2]:[2,1]:[0,0]]

corresponding to the solution:
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mindist=51
weight enumerator=1 [0]  2720 [51]  3336 [52]  4416 [53]  5312 [54]  8256 [55]  8976 [56
]  8904 [57]  7416 [58]  5256 [59]  2800 [60]  1512 [61]  144 [62]