length n = 14
dimension k = 6
alphabet length q = 4

minimum distance d = 7

generator matrix:
01111111111111
10223311223323
13220323232311
31011131231232
13223013322132
31101132132123

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

010000
000100
000001
001000
100000
000010