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

minimum distance d = 32

generator matrix:
00001111010100110111001111110111111111111111
00110023101011001023110022331023112223332233
11230000010100232110232303023101232332231312
23002300101023001203323230201320323131223223

projective group of automorphisms generated by:
0001
1000
0100
0010

1000
0001
0010
0100