length n = 30
dimension k = 6
alphabet length q = 7

minimum distance d = 14

generator matrix:
111111111111111111111111111111
111111111111222244441111666666
111111112444122211141666111666
111111442114212211416166166116
111114142141221214116616616161
111114412411222141116661661611

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

000010
100000
010000
001000
000100
000001