length n = 16
dimension k = 9
alphabet length q = 3

minimum distance d = 2

generator matrix:
0111111100000001
0000000011111112
1011111100000020
1101111100000200
1110111100002000
1111011100020000
1111101100200000
1111110102000000
1111111020000000

projective group of automorphisms generated by:
100000000
010000000
000001000
000000001
001000000
000000100
000100000
000010000
000000010

000001000
010000000
000000100
000100000
000010000
100000000
000000001
000000010
001000000