length n = 10
dimension k = 6
alphabet length q = 7

minimum distance d = 2

generator matrix:
1111111111
1111111124
1111111421
1111114121
1111141121
1111411121

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

000010
100000
010000
001000
000100
000001