length n = 186
dimension k = 7
alphabet length q = 3

minimum distance d = 117

generator matrix:
000000000000000000000000111111111111111111000000111111110000000000000000001111111111111111111111110000000001111111111110000001111111111111111111111111111111111111111111111111111111111111
000000000000111111111111000000000000112222001111000011220000001111111111110000000000001111112222220001111110000001122221111110000001111111111112222222222222222221111111111111222222222222
000111111111000000000122000000000122020012010122012201001111110000001122220000001122220011120000121110001220001220200121122221122220011122222220000111111122222221111111222222111111222222
111000000122000000122212000112222000000000112100020100120012220011221100121111220000120200200001020220122011120022200001212222211222202200011221122011222201111221111122112222112222111122
000000122212112222000000122020012000000000211001102002101210011102010212020112010201122000001220002022200220220110022002111121222121222212202021211222001210112011111222221112121122112212
122122212000020012000000000201200000201200101220202110001121211220200012001021202020001102010021002112020102012002001202221212212212120221222102212102120021021111111212121222222211121211
212212000000201200212000212000000212000000120021110020022101202111212000102200211121000020001200101201212002202200010012222112121112222022120212121220212112200101111221222121221212211121

projective group of automorphisms generated by:
0100000
0000100
0000001
1000000
0010000
0000010
0001000

0010000
0001000
0000100
1000000
0000001
0100000
0000010