length n = 108
dimension k = 7
alphabet length q = 3

minimum distance d = 66

generator matrix:
000000000011000000000000000011111111111111111111111100000000000000001111111111111111111111111111111111111111
000000001100000000001111111100000000111111112222222211111111111111110000000000000000111122221111111122222222
000000110000111111110000000011112222000011220000112211111111222222220000000011112222000000001111222211112222
000011000000111122221111222211221122000000000000000000001122000011221111222200000000112211221122112211221122
001100000000112211221122112200000000112200001122000011220000112200001122112211221122000000001212121212121212
011212121212121212121212121212121212121212121212121200000000000000000000000000000000000000002112122112212112
121212121212000000000000000000000000000000000000000012121212121212121212121212121212121212121221211221121221

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

0001000
0000100
0010000
1000000
0100000
0000010
0000001

2000000
0100000
0010000
0001000
0000200
0000010
0000001