length n = 128
dimension k = 6
alphabet length q = 3

minimum distance d = 81

generator matrix:
00000000001111100000000000000000000000000000011111111111111111111111111111100000111111111111111111111111111111111111111111111111
00000011110000200000000000011111111111111111100000000000000000011112222222211111000001111111111112222222211111122111111122222222
00011100020002000011111111100000000011122222200000000011122222200020000001211122111220001111112220011122211111212111222211112222
01100200200020011100011222200011222200200001200011222200200001200200000120011212112121120011220111201102211112112122112211221122
10202002000200012212202001212202001202000120012202001202000120002000012000012112121121211202011011210120211121112212121212121212
22020020002000021221220120021220120020012000021220120020012000020001200000021112211122112120101101211022011211112221211221121221

projective group of automorphisms generated by:
001000
100000
010000
000100
000010
000001

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000