length n = 44
dimension k = 5
alphabet length q = 2

minimum distance d = 22

generator matrix:
00000000000000000000111111111111111111111111
00000000111111111111000000000000111111111111
11111111000000001111000000001111000011111111
00100111000110110011000110110011001100100111
01001011001011010101001011010101010101001011

projective group of automorphisms generated by:
10000
01000
00100
00001
00111