length n = 172
dimension k = 11
alphabet length q = 2

minimum distance d = 78

generator matrix:
0000000000001111111111111111110000000000111111111111111111110010000000000001111111111111111110000000001111110000000000000000001111111111110000000000001111111111111111110111
0000000011110000111111111111110000001111000000000000111111110010000111111110000000011111111110000011110000110000000011111111110000001111110000001111110000000000111111110111
0001111101110111000000011111110000010001000000011111000111110100111000111110001111100000111110001100010001110000111100001111111111110011110001110001110001111111000111111011
0000001100001111001111100001110000111111000011100001111001110010011011000110010011100111000010110100010010010111001100010000110000010001110110010110011110000011001000110111
0000010111111111010011100110000011011110000100100111001011110000101100001110100101111011000111000101100101111011010100110011010001110100111000101000010110011101110011110000
0110100110010011110101101000000101110011001011100011011110001111111000010011000000101001011110011100101011011011101101010000110110111010001110010111101000100101011000000001
0000010000011011001010110010001011111101001011001001010010010101011001100101011011011110001111111101101001100101110000110111100000111110010111111010010011101100111001011011
0010100100100111111001101000011000010101110001000111111100111110111010000000010101010111110101011001001110100101100101000111111000101001111010001001110001101001100110010001
0010000011101101110011111110111010000110110001100110000001100010111011001110110110101111000100101000111001000100011111011101001111000001011101010110000011100100010110010111
1101100000000110001001010010110001000100111001001110101010001010000110010010000001101001110111100001000010110110100011111010011111101110110011000101110001110100011000001010
0110011011001010010100000111011010111010010001101110000111100010011111000010011001110001100011000101101010001001101101000110111011000110011101000000101100111011011111110111

projective group of automorphisms generated by:
10011100111
00010111100
10101100101
11011100011
00001110111
10001001001
01101010111
00110110100
11000100111
01100000101
00101110010