length n = 14
dimension k = 6
alphabet length q = 7

minimum distance d = 4

generator matrix:
11111111111111
11111135111124
11111315111421
11113115114121
11131115141121
11311115411121

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

010000
100000
001000
000100
000010
000001