length n = 23
dimension k = 5
alphabet length q = 2

minimum distance d = 11

generator matrix:
00000000000011111111111
00000011111100000011111
00101100101100101101011
01010101010101010110101
10011110011100011000110

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