length n = 14
dimension k = 6
alphabet length q = 3

minimum distance d = 6

generator matrix:
01011111111111
10101111111122
10110111112211
11111100111200
11111101010012
01111011112222

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

100000
001000
010000
000010
000100
000001