length n = 37
dimension k = 6
alphabet length q = 7

minimum distance d = 20

generator matrix:
1111111111111111111111111111111111111
1111111113333555511111111333333555555
1111133351113155511333555111333111555
1113311351131515535133155133113155115
1131313151311551535313515313131515151
1133131153111555135331551331311551511

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

010000
100000
001000
000100
000010
000001