length n = 34
dimension k = 6
alphabet length q = 7

minimum distance d = 16

generator matrix:
1111111111111111111111111111111111
1111112411116611111111333333555555
1111142111161611333555111333111555
1111412111611635133155133113155115
1114112116111635313515313131515151
1141112161111635331551331311551511

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

010000
100000
001000
000100
000010
000001