length n = 13
dimension k = 6
alphabet length q = 8

minimum distance d = 4

generator matrix:
0000010111111
0000101011111
0001001101111
0010001110111
0100001111011
1000001111101

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