length n = 44
dimension k = 4
alphabet length q = 5

minimum distance d = 33

generator matrix:
00010001111111111111111111111111111111111111
00101110001122331144112233112223334444223344
01001231230201031414231213241342341234342423
10002132132010304114232131424313242143434232

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001