length n = 248
dimension k = 7
alphabet length q = 2

minimum distance d = 124

generator matrix:
00000100000100000000001111100000000001111100000000001111111111000000000011111111110000011111111110000011111111110000010000010000000000111110000000000111110000000000111111111100000000001111111111000001111111111000001111111111011111011111011111011111
00001000001000000011110000100000011110000100001111110000001111000011111100000011110111100001111110111100001111110000100000100000001111000010000001111000010000111111000000111100001111110000001111011110000111111011110000111111101111101111101111101111
00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000111111111111
00010000010000011100010001000011100010001001110001110001110001011100011100011100011011101110001111011101110001110001000001000001110001000100001110001000100111000111000111000101110001110001110001101110111000111101110111000111110111110111110111110111
00100000100001100100100010001100100100010010110110010110010010101101100101100100101101110110110011101110110110010010000010000110010010001000110010010001001011011001011001001010110110010110010010110111011011001110111011011001111011111011111011111011
01000001000010101001000100010101001000100011011010101010100100110110101010101001001110111011010101110111011010100100000100001010100100010001010100100010001101101010101010010011011010101010100100111011101101010111011101101010111101111101111101111101
10000010000011010010001000011010010001000011101101001101001000111011010011010010001111011101101001111011101101001000001000001101001000100001101001000100001110110100110100100011101101001101001000111101110110100111101110110100111110111110111110111110

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

0000001
0000100
0010000
0000010
0001000
1000000
0100000