length n = 44
dimension k = 3
alphabet length q = 4

minimum distance d = 32

generator matrix:
01010000101010101011111111111111111111111111
00001111111131312120000111131312122223232333
10100001010202030302323111232332321132323211

projective group of automorphisms generated by:
001
010
100

100
010
001