length n = 67
dimension k = 3
alphabet length q = 5

minimum distance d = 53

generator matrix:
0000000000000111111111111111111111111111111111111111111111111111111
0011111111111000000000001111111111112222222222333333333334444444444
1100011223344000112233440011122333440011223344001122233440011223344

projective group of automorphisms generated by:
100
010
001

100
010
001