length n = 67
dimension k = 5
alphabet length q = 2

minimum distance d = 33

generator matrix:
0000100001000010000001111000000111100001111110000111111011110111111
0001000010000100001110001000111000101110001110111000111101111011111
0010000100001000110010010011001001010110110011011011001110111101111
0100001000010001010100100101010010011011010101101101010111011110111
1000010000100001101001000110100100011101101001110110100111101111011

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000