length n = 68
dimension k = 4
alphabet length q = 3

minimum distance d = 45

generator matrix:
00000000000000000111111111111111111111111111111111111111111111111111
00011111111111111000000000000000001111111111111111122222222222222222
01101201201201212000120120120121220001201201201212200012012012012122
10110210221021021001021022102102110010210221021021100102102210210211

projective group of automorphisms generated by:
2000
0200
0012
0010