length n = 13
dimension k = 6
alphabet length q = 7

minimum distance d = 4

generator matrix:
1111111111111
1111124111166
1111421111616
1114121116116
1141121161116
1411121611116

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

010000
100000
001000
000100
000010
000001