length n = 23
dimension k = 4
alphabet length q = 2

minimum distance d = 12

generator matrix:
00010001000111011101111
00100010011001101110111
01000100101010110111011
10001000110100111011101

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001