length n = 52
dimension k = 7
alphabet length q = 2

minimum distance d = 24

generator matrix:
0000001000000000000000000001111111111111110111111111
0000010000000000011111111110000000000111111011111111
0000100000011111100000011110000001111000011101111111
0001000011100011100011100010001110001000101110111111
0010000101101100101100100100110010010001001111011111
0100000110110101010101001001010100100010001111101111
1000000111011010011010010001101001000100001111110111

projective group of automorphisms generated by:
0010000
1000000
0100000
0001000
0000100
0000010
0000001

0001000
1000000
0010000
0100000
0000100
0000010
0000001

0000100
1000000
0010000
0001000
0100000
0000010
0000001

0000010
1000000
0010000
0001000
0000100
0100000
0000001

0000001
1000000
0010000
0001000
0000100
0000010
0100000