length n = 106
dimension k = 3
alphabet length q = 4

minimum distance d = 80

generator matrix:
0101010101010000001010101010101010101010101010111111111111111111111111111111111111111111111111111111111111
0000000000001111111111111111313131313121212121200000000000000111113131313131312121212122222223232323233333
1010101010100000010101010102020202020303030303011112323232323111123232323232332323232321111132323232321111

projective group of automorphisms generated by:
001
010
100

100
010
001