length n = 42
dimension k = 7
alphabet length q = 3

minimum distance d = 24

generator matrix:
000000000000000111111111111111111111111111
000000001111111000000000011111111112222222
001111110001112000000111200001122221122222
000112222221222000011012000110100120200011
002220010112010012200221002010001022202212
001121222011022200202220002111001002110121
112121122122122121112221211112211112112111

projective group of automorphisms generated by:
2211010
1011220
1211220
0022000
0201010
0212120
0000001