length n = 112
dimension k = 3
alphabet length q = 4

minimum distance d = 84

generator matrix:
0101010101000000101010101010101010101010101010101111111111111111111111111111111111111111111111111111111111111111
0000000000111111111111111131313131313121212121212000000000000000111113131313131212121212122222223232323232333333
1010101010000001010101010202020202020303030303030111232323232323111123232323233232323232321111132323232323211111

projective group of automorphisms generated by:
001
010
100

100
010
001