length n = 70
dimension k = 3
alphabet length q = 4

minimum distance d = 52

generator matrix:
0101010000010101010101010101010111111111111111111111111111111111111111
0000001111111111131313131212121200000000111313131212122222232323233333
1010100000101010202020203030303023232323112323233232321111323232321111

projective group of automorphisms generated by:
001
010
100

100
010
001