length n = 22
dimension k = 6
alphabet length q = 7

minimum distance d = 10

generator matrix:
1111111111111111111111
1111351111661111666666
1113151116161666111666
1131151161166166166116
1311151611166616616161
3111156111166661661611

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

010000
100000
001000
000100
000010
000001