length n = 44
dimension k = 4
alphabet length q = 9

minimum distance d = 36

generator matrix:
00000011111111111111111111111111111111111111
11111100000022225555777711341168115577225577
22557722557700570027002513141861571517572725
57272557272557002700250031148161575171757252

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001