length n = 31
dimension k = 6
alphabet length q = 7

minimum distance d = 16

generator matrix:
1111111111111111111111111111111
1111351111111222244441111666666
1113151112444122211141666111666
1131151442114212211416166166116
1311154142141221214116616616161
3111154412411222141116661661611

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

010000
100000
001000
000100
000010
000001