length n = 77
dimension k = 4
alphabet length q = 2

minimum distance d = 40

generator matrix:
00010001000100010001000111000111000111000111000111011101110111011101111111111
00100010001000100010011001011001011001011001011001101110111011101110111111111
01000100010001000100101010101010101010101010101010110111011101110111011111111
10001000100010001000110100110100110100110100110100111011101110111011101111111

projective group of automorphisms generated by:
0001
1000
0100
0010

0100
1000
0010
0001