length n = 138
dimension k = 3
alphabet length q = 4

minimum distance d = 104

generator matrix:
010101010101010000000101010101010101010101010101010101010101011111111111111111111111111111111111111111111111111111111111111111111111111111
000000000000001111111111111111111113131313131313121212121212120000000000000000111111131313131313131212121212121222222223232323232323333333
101010101010100000001010101010101020202020202020303030303030301123232323232323111111232323232323233232323232323211111132323232323232111111

projective group of automorphisms generated by:
001
010
100

100
010
001