length n = 38
dimension k = 6
alphabet length q = 7

minimum distance d = 20

generator matrix:
11111111111111111111111111111111111111
11111111116666666611111111333333555555
11111166661111666611333555111333111555
11116611661166116635133155133113155115
11161616161616161635313515313131515151
11166161166116166135331551331311551511

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

000010
100000
010000
001000
000100
000001