length n = 113
dimension k = 3
alphabet length q = 4

minimum distance d = 85

generator matrix:
01010101010000010101010101010101010101010101010111111111111111111111111111111111111111111111111111111111111111111
00000000001111111111111113131313131312121212121200000000000000011111313131313131212121212122222223232323232333333
10101010100000101010101020202020202030303030303011123232323232311112323232323233232323232321111132323232323211111

projective group of automorphisms generated by:
001
010
100

100
010
001