length n = 14
dimension k = 7
alphabet length q = 4

minimum distance d = 6

generator matrix:
00000011111111
00111100001123
01012301230100
11030131000021
31102010010320
10302113201000
13110000213001

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

0000010
0000001
0001000
0100000
0000100
0010000
1000000