length n = 44
dimension k = 4
alphabet length q = 2

minimum distance d = 23

generator matrix:
00010001000100011100011100011101110111011111
00100010001001100101100101100110111011101111
01000100010010101010101010101011011101110111
10001000100011010011010011010011101110111011

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001