length n = 16
dimension k = 6
alphabet length q = 7

minimum distance d = 6

generator matrix:
1111111111111111
1111111166666666
1111666611116666
1166116611661166
1616161616161616
1661611661161661

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

010000
100000
001000
000100
000010
000001