length n = 12
dimension k = 6
alphabet length q = 3

minimum distance d = 6

generator matrix:
001101111111
010110112211
101010121211
011022000012
100122000021
110001211211

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

100000
001000
010000
000010
000100
000001