length n = 24
dimension k = 5
alphabet length q = 2

minimum distance d = 12

generator matrix:
000000000000111111111111
000000111111000000111111
001011001011001011001011
010101010101010101010101
100111000110000110100111

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