length n = 13
dimension k = 6
alphabet length q = 4

minimum distance d = 6

generator matrix:
0010111111111
0101022331123
0011202332332
1002111012323
1001220333211
0102111103232

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

010000
000100
000001
001000
100000
000010