length n = 67
dimension k = 4
alphabet length q = 2

minimum distance d = 35

generator matrix:
0001000100010001000100011100011100011100011101110111011101110111111
0010001000100010001001100101100101100101100110111011101110111011111
0100010001000100010010101010101010101010101011011101110111011101111
1000100010001000100011010011010011010011010011101110111011101110111

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001