new codes from 211008

• binary:
• ternary: 6 improvements + 8 derived
• q=4: 1 optimal + 2 improvement + 3 derived
• q=5: 1 optimal + 1 improvement
• q=7: 4 improvements + 2 derived
• q=8:
• q=9:

binary q=2

ternary q=3

q=3 k=9 n=69 d=39 
(using a program of Johannes Zwanzger)
( link )

generator matrix:
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39
weight enumerator=1 [0]  1864 [39]  3514 [42]  4986 [45]  5592 [48]  3016 [51]  656 [54]  
48 [57]  4 [60]  2 [66]  

q=3 k=9  n=107 d=63 
extension of a code using (using automorphisms)
( link )
generator matrix:
00000001111111111111000000000111111111110000011111111111111100111000001111111111111110000000111111111111111
00111110000011111222000001111001111222220111100001111222222201122011110000001111222220001111001111222222222
01001220011201222002001110012000112111121011200110122011222201002001220001110012001120110012010111001112200
12010010022022011112010020121222011012221001202111000200000202022122020110221102011221001100002002120022222
11002110201122002010000010000121010211210101100012211202011211202021012000001212020122120222011012010011222
12112012112111102022120222111122000012111112111201000002002020001210210000000101102110210010101222200212011
22102100210210202201001222201011212002011211122001012222112222212200220010122022102122022001202122200122100
00111212020001221100122000102222010210221220220220220121222101212110002210221011211102122212101212021212022
12111201202002200202110212011211122120111112211001211212211200111001212001010102011120012202121010220201111
mindist=63
weight enumerator=1 [0]  1340 [63]  4060 [66]  3970 [69]  2550 [72]  4380 [75]  2780 [78
]  600 [81]  2 [102]  
This is a self-orthogonal code

q=3 k=9 n=210 d=129 
(using automorphisms)
( link )

code with group 65223 

generator matrix:
000000011111111111110011111111111111111100111000000011111111111110000000111111111111100000001111111111111000000111111111111110000001111111111111100000000001111111111000000001111111111110111100000000011111111111
000111101111222222221100000000001122222201122011111100001111112220111111001111112222200111110000011111222011111000000011111220111110001111122222200001111110011111122000111110001111122221001200001111100011111222
011222220122000122222200001122221200112201002101122201120022221221011112120012220001200011220112200022012100122001112200002021012220120012200012201110001220111122202000001121220112201121110111110012201200222001
100002201201122101120001120100112011021202022021101221200211222221201220211200111122101100010220112211011101011121120100021211210120120000200120111121120000012201210111021202110001100202110201120012211002112022
011220110010001111200100012001001111120211202220020220000202222010210221011201112220212001201220100112001111101210201202221202000112001222202122011200220020200122221122000022222020210102120110102220120111010120
211110020111211111222100022111121101211220001110101202201220002102000121000222110200111202221021122212011021001200002120001221112000112012122102110011212021020210011122200111001211112012022220000221110220022202
012001210111220212000200122202121201200122212100200201211120001022021200102010011222121020012120210002000201000022011210122001112122001121102000022020012001210110201022021211022100100201021022122101212202102102
010111211022111220012201200201002120100201212220210122011210022020210120000101001002211112212121200221112120210012110012002021101211201221110202212210200000120212221012022220202221012221222020021221002101100222
222020211220220111212101012110221102021100111102002120202121110101102212112011102110211121201000000022002110010101222022121102012020011120112212022202212122020102222000220221222210100100111110001101212100221221
corresponding to the solution:
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,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
,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
,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]
mindist=129
weight enumerator=1 [0]  1320 [129]  2630 [132]  3160 [135]  2190 [138]  3040 [141]  3180
 [144]  2020 [147]  1130 [150]  560 [153]  410 [156]  40 [159]  2 [180]

q=3 k=10  n=92 d=53 
extension of a code using (using automorphisms)
( link )


generator matrix:
00000000000000000000001111111111111111111111111111111111111111111111111111111110110011110101
00000000000111111111110000000000000000000011111111111111111111222222222222222220220011101102
00001111111000112222220001111111112222222200000000001111122222000000001111222221100120111202
11110111112012000000111120011111120000111201111122221122200112000001111122000121210221020200
00222000120001010011120110000112210000111200022201120111211112000220021201012001020202122211
12000122200111210022211100102011220011002200201101212222200222012120221012202221100022222022
20120111211201000112200000122220220101121121210221221102012220002110121212220121210120122020
22210102220120111202120201100000200012201022001121002000102221111012212021211020000011120010
21202021122102211011102211102100011112122101220211011212110122001101212201102012200202110211
12211122000110111211102210110222100020101220020022111020101210102022120212002200111202102121
mindist=53
weight enumerator=1 [0]  2386 [53]  3268 [54]  1516 [55]  5202 [56]  3222 [57]  2106 [58
]  2160 [59]  1800 [60]  1440 [61]  9102 [62]  7230 [63]  4926 [64]  5976
 [65]  3096 [66]  2268 [67]  756 [68]  630 [69]  504 [70]  648 [71]  432
 [72]  360 [73]  14 [80]  4 [81]  2 [82]  

q=3 k=10  n=174 d=104 
constructed using a program of Johannes Zwanzger
( link )


generator matrix:
000000000000000000000000000011111111111111111111111111111111111111111111111111110000000000000000000000001111111111111111111111111111111111111111111111111111111111000111001011
000000000011111111111111111100000000000000000011111111111111111222222222222222220000000111111111111111110000000000000000011111111111111111122222222222222222222212001012110110
111111111100000001111122222200000000012222222200000000111111222000011111111122221111111000111111112222220000000111112222200001111111222222200001111111122222222211011020022002
001122222201111220011100122211122222210001222200011122011222011000200111111202220000122000001111120000220111122111120112201220001222001222200120000122200001122220012002122002
021201122210112120101222202201201122200010111222201202012112002222212000112120220112012012020002220012111011211000200220012120122112021112200211112211100020112210111200110222
022110201102001210010200111201210200100021002201212122220121111012121112010221011012001121200020011211001111022022202220221200220220010120102000022201202222110200202222110121
001101200001020200202022121000102112102211000112101110020101000220020010111002121011012022120100021010222111201100020021100220201011211222022101110221200201210001110221000112
021101121200212222001101212110110112101221111100120220020001211122022021011212220221012011122201221020012101111001201000110211112222110120112210021210012121112002100210101000
120201120101001200211222002200102101001211222110110212220201212220000220011210212201012000212111100201001112001010012110011122210211221120211021220110010102010001211002200101
002100211222102121211002200101210200222222011012102001112021120122000120012200012010012201002210121122022120021200012210110211012010220221212211211102202120001121002021220010
mindist=104
weight enumerator=1 [0]  1562 [104]  1620 [105]  974 [106]  3004 [107]  2088 [108]  1048
 [109]  1776 [110]  1152 [111]  816 [112]  4936 [113]  4594 [114]  3412
 [115]  6530 [116]  3914 [117]  2534 [118]  2700 [119]  1950 [120]  1110
 [121]  2818 [122]  2608 [123]  2014 [124]  2252 [125]  1190 [126]  938
 [127]  546 [128]  462 [129]  180 [130]  80 [131]  88 [132]  80 [133]  
40 [134]  16 [135]  16 [136] 

q=3 k=10  n=179 d=107 
constructed using a program of Johannes Zwanzger
( link )

generator matrix:
00000000000000000000000000001111111111111111111111111111111111111111111111111111000000000000000000000000111111111111111111111111111111111111111111111111111111111100011011010110000
00000000001111111111111111110000000000000000001111111111111111122222222222222222000000011111111111111111000000000000000001111111111111111112222222222222222222221200101120120010110
11111111110000000111112222220000000001222222220000000011111122200001111111112222111111100011111111222222000000011111222220000111111122222220000111111112222222221101102002021011020
00112222220111122001110012221112222221000122220001112201122201100020011111120222000012200000111112000022011112211112011220122000122200122220012000012220000112222001200122010111200
02120112221011212010122220220120112220001011122220120201211200222221200011212022011201201202000222001211101121100020022001212012211202111220021111221110002011221011120100222011000
02211020110200121001020011120121020010002100220121212222012111101212111201022101101200112120002001121100111102202220222022120022022001012010200002220120222211020020222120120010110
00110120000102020020202212100010211210221100011210111002010100022002001011100212101101202212010002101022211120110002002110022020101121122202210111022120020121000111022010102001220
02110112120021222200110121211011011210122111110012022002000121112202202101121222022101201112220122102001210111100120100011021111222211012011221002121001212111200210021101002210210
12020112010100120021122200220010210100121122211011021222020121222000022001121021220101200021211110020100111200101001211001112221021122112021102122011001010201000121100220110201010
00210021122210212121100220010121020022222201101210200111202112012200012001220001201001220100221012112202212002120001221011021101201022022121221121110220212000112100202210002211221
mindist=107
weight enumerator=1 [0]  1146 [107]  2066 [108]  1252 [109]  2272 [110]  1492 [111]  1290
 [112]  1866 [113]  1344 [114]  704 [115]  4304 [116]  5090 [117]  3436
 [118]  5806 [119]  3196 [120]  2688 [121]  3768 [122]  2100 [123]  1040
 [124]  3074 [125]  2714 [126]  1594 [127]  2542 [128]  1120 [129]  870
 [130]  1158 [131]  444 [132]  200 [133]  224 [134]  92 [135]  36 [136
]  72 [137]  24 [138]  12 [139]  12 [140]  

q=4

q=4 k=5 n=83 d=60 optimal
(using automorphisms)
( link )

code with group 6183 

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

corresponding to the solution:
[1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0
,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1]
mindist=60
weight enumerator=1 [0]  639 [60]  222 [64]  117 [68]  45 [72]  

q=4 k=8 n=37 d=21
(using automorphisms)
( link )

code with group 126924 

generator matrix:
[[0,0]:[0,0]:[0,0]:[1,1]:[1,1]:[1,1]:[1,1]:[0,0]:[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]:[0,0]:[0,0]:
[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]]
[[0,0]:[1,1]:[1,1]:[0,0]:[0,1]:[1,0]:[1,1]:[1,1]:[0,0]:[0,1]:[1,1]:[1,1]:
[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[0,1]:[0,1]:[1,0]:[1,1]:[1,1]:[1,1]:[1,1]:
[0,0]:[0,1]:[1,1]:[1,1]:[1,1]:[0,0]:[1,1]:[1,1]:[0,0]:[0,1]:[1,0]:[1,0]:
[0,0]]
[[0,0]:[0,0]:[0,0]:[0,1]:[1,1]:[1,0]:[1,1]:[1,1]:[1,0]:[1,0]:[1,0]:[1,0]:
[1,1]:[1,1]:[1,1]:[0,0]:[1,0]:[0,0]:[0,0]:[1,0]:[1,0]:[1,0]:[0,1]:[1,1]:
[1,1]:[1,1]:[0,0]:[0,0]:[0,0]:[0,0]:[0,0]:[1,0]:[1,1]:[0,1]:[0,1]:[1,0]:
[1,1]]
[[0,0]:[0,0]:[0,1]:[1,1]:[1,0]:[0,0]:[1,0]:[0,0]:[0,1]:[1,0]:[0,1]:[1,0]:
[0,0]:[0,1]:[1,0]:[0,0]:[0,0]:[0,0]:[1,1]:[1,0]:[1,1]:[0,0]:[1,0]:[0,0]:
[0,1]:[1,1]:[0,0]:[1,0]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[0,1]:[1,0]:[1,0]:
[1,0]]
[[1,1]:[0,1]:[1,1]:[1,1]:[0,1]:[0,1]:[0,1]:[0,1]:[1,0]:[0,0]:[0,1]:[1,0]:
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mindist=21
weight enumerator=1 [0]  609 [21]  1452 [22]  2184 [23]  3738 [24]  4788 [25]  6888 [26]  
9597 [27]  9534 [28]  9516 [29]  8028 [30]  4662 [31]  2877 [32]  1092
 [33]  336 [34]  189 [35]  42 [36]  3 [37]  

q=4 k=8 n=112 d=74 
(using automorphisms)
( link )

code with group 126540 

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

corresponding to the solution:
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mindist=74
weight enumerator=1 [0]  1455 [74]  2925 [76]  5700 [78]  7275 [80]  9573 [82]  10785 [84
]  10083 [86]  8415 [88]  5520 [90]  2616 [92]  885 [94]  273 [96]  30
 [100]  

q=5

q=5 k=5 n=85 d=65 optimal
(using automorphisms)
( link )

code with group 9410 

generator matrix:
0011111011111001111111111011111000111011111011111000111111111111111000111011111001111
0102244111344110344133344100144011124001234100113111023012233001123111123101122111112
0002444414213243223433423323322101202130011324114034133420202131340224310330402230231
0441303210404013323313442224103414201331121333234301004034412402243140310443440112412
1331421321111120232432132311222003211122213314100121344021340234133412133120322310104
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0
,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0]
mindist=65
weight enumerator=1 [0]  1608 [65]  1152 [70]  360 [75]  4 [85]  

q=5 k=6 n=100 d=75 (using automorphisms)
( link )

code with group 35295 

generator matrix:
0000001111111111111111110000111111111111111111110000000011111111111111110000001111111111111111111101
0011110011111222223344440011000001111122222333340111111100001122333334440000110000111122223333443410
0001240002344011331211230101000120123422224011341000134413330104001330241111031234224412330034123241
0014230113434011341014031444014211313002441413442123230201120213143144301234421222242322121441040331
0124004030224323442203002243310102342234122131014401041320121123120200044240343143011023340000223241
1323422323411210321002104202044233321232342313223230334102301304212304310003430241141200220041333303
corresponding to the solution:
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1]
mindist=75
weight enumerator=1 [0]  4816 [75]  6000 [80]  4800 [85]  8 [100]  

q=7

q=7 k=6 n=58 d=43
(using automorphisms)
( link )

code with group 127160 

generator matrix:
1111111111110111111111110111110111110011110111110111111100
1235560146661334661445561014461134661123461023461234555500
1211665040361120455231654055643430141226620331611354140210
4323661312500445565360016250562652044003012320515301354021
6131226544332100234120051036601565213664464443643556533300
1451256632436221661263213164544215240000003423335656240000
corresponding to the solution:
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,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
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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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
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mindist=43
weight enumerator=1 [0]  1512 [43]  2250 [44]  4326 [45]  6792 [46]  9732 [47]  12240 [48
]  14946 [49]  18318 [50]  16404 [51]  13644 [52]  9036 [53]  5760 [54
]  2160 [55]  426 [56]  72 [57]  30 [58]  

q=7 k=6 n=70 d=53
(using automorphisms)
( link )

code with group 127160 

generator matrix:
0111110111110111111111110011110111111111111111111111111111111101111100
1045561023461115561235561101161112661445560012360134555500144410011300
3612662250363060664562353543450366220054420613006326154501201324525311
0653356165643015120602551235123524145630010526002160031312331005123350
4103204443644503406132121023011436564210051251522314643360650430660300
1222653423335136111452152442536443661622310000002342130046534565544200
corresponding to the solution:
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mindist=53
weight enumerator=1 [0]  1764 [53]  2490 [54]  4692 [55]  6252 [56]  8838 [57]  11160 [58
]  14430 [59]  14010 [60]  15822 [61]  13746 [62]  10842 [63]  7584 [64
]  3960 [65]  1362 [66]  648 [67]  42 [68]  6 [70]  

q=7 k=6 n=82 d=63
(using automorphisms)
( link )

code with group 126014 

generator matrix:
0011111111111111111111111111111100001111111111111111111111111111110011111111111111
0000112222334456000112223345666611111122333345564600011223444445560100122344555556
0146061144561642256342450436334555662625002262255445635440133562441314025415113350
0466153556206156540266205104046434560426662310320554600234124032641451421420151422
0202562123546014632336361343520603210403046515220551555016361415260500365305203425
1560544514235160316212232542233136050234400136313052316455316643312533455403411246
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=63
weight enumerator=1 [0]  2160 [63]  2688 [64]  4800 [65]  5772 [66]  7152 [67]  10728 [68
]  12624 [69]  14160 [70]  13392 [71]  14280 [72]  11820 [73]  7896 [74
]  5664 [75]  2256 [76]  1632 [77]  480 [78]  144 [80]  

q=7 k=6 n=88 d=68
(using automorphisms)
( link )

code with group 126014 

generator matrix:
0011111111111111000111111111111101111111111111110001111111111111011111110000111111111111
0000112222334456111001111335556600011122235555661110033333345666133445561111022333444455
0146061144561642025030235352342613302504511155163552411234430445526460111235216366001516
0466153556206156214220662214261110442441334444504051305020504442534520234541155146114616
0202562123546014456242365044151513656433032324035130523550451064525165436131452004363000
1560544514235160111024123050606400562633445060323635416543644555143511650316560001612335
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=68
weight enumerator=1 [0]  1488 [68]  3312 [69]  4848 [70]  5520 [71]  8124 [72]  11472 [73
]  11136 [74]  10848 [75]  14004 [76]  13248 [77]  12216 [78]  8064 [79
]  7320 [80]  3792 [81]  1584 [82]  384 [83]  240 [84]  48 [85]  

q=8

q=9