length n = 14
dimension k = 7
alphabet length q = 3

minimum distance d = 5

generator matrix:
00000011111111
00000101112222
00001001221122
00010002121212
00100002211221
01000002122121
10000002212112

projective group of automorphisms generated by:
0000010
1000000
0000100
0000001
0001000
0010000
0100000

0010000
0100000
1000000
0000010
0000001
0000100
0001000