length n = 12
dimension k = 6
alphabet length q = 7

minimum distance d = 4

generator matrix:
000001111111
000010111135
000100111531
001000115131
010000151131
100000511131

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

010000
100000
001000
000100
000010
000001