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

minimum distance d = 30

generator matrix:
00001000111000111000111111111111111111111111
01000111123111123111000000123000123112233123
00010123000123000123000222111333333121212333
00100132132132321213123123132123213322113132
10000111312333123000132321000321000311223231

projective group of automorphisms generated by:
00100
00003
20000
00020
02000