length n = 22
dimension k = 6
alphabet length q = 8

minimum distance d = 8

generator matrix:
1111111111111111111111
1111111111333333666666
1111333666111333111666
1136133166133113166116
1136313616313131616161
1136331661331311661611

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

000100
100000
001000
010000
000010
000001

000010
100000
001000
000100
010000
000001

000001
100000
001000
000100
000010
010000