length n = 125
dimension k = 6
alphabet length q = 3

minimum distance d = 80

generator matrix:
00001000000111100000011110000000000001111111100000000000011111111111111111101111000011111111111111111111111111111111111111111
00010000111000100011100020000001111110000002200011111111100000000011122222210111111100001111112222221112211122111221111222222
00100011001001001100200200011110000220000220011100011222200011222200200001211011112211220011220011221121211212112121222111222
01000101010010010202002001100220022000022000012212202001212202001202000120011101121212121202011201021211212112121122122122112
10000110100100022020020002222002200002200000021221220120021220120020012000011110211221122120101210202111221112211122212212121
22222222222222200000000001212121212121212121200000000000000000000000000000022222111211121111111211220000011112222211112112122

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

001000
000010
100000
010000
000100
000001