length n = 12
dimension k = 7
alphabet length q = 3

minimum distance d = 4

generator matrix:
011100111111
101211001122
000012121200
000012122112
000000212112
120222001122
222000112222

projective group of automorphisms generated by:
2200000
1200000
0001100
0002000
0020000
0000011
0000021