length n = 45
dimension k = 5
alphabet length q = 2

minimum distance d = 22

generator matrix:
000010000100000011110000111111000011111101111
000100001000011100010111000111011100011110111
001000010001100100101011011001101101100111011
010000100010101001001101101010110110101011101
100001000011010010001110110100111011010011110

projective group of automorphisms generated by:
00100
10000
01000
00010
00001

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000