length n = 87
dimension k = 6
alphabet length q = 3

minimum distance d = 54

generator matrix:
000000011110000000000001111111100000000000011111111111111111111111111111111111111111111
000011100010000001111110000002200011111111100000000011122222211111111122111221111222222
001100100100011110000220000220011100011222200011222200200001211111111212112121222111222
010101001001100220022000022000012212202001212202001202000120011111112112121122122122112
011010010002222002200002200000021221220120021220120020012000011111121112211122212212121
122222222221212121212121212121200000000000000000000000000000000112211112222211112112122

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

001000
000010
100000
010000
000100
000001