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

minimum distance d = 4

generator matrix:
00000010111111
00000101011111
00001001101111
00010001110111
00100001111011
01000001111101
10000001111110

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

0100000
1000000
0010000
0001000
0000100
0000010
0000001