length n = 223
dimension k = 5
alphabet length q = 2

minimum distance d = 114

generator matrix:
0001000100010001000100010001000100000000010001000100010001000100010001001100110011001100110011001100110011001100110011001100110101010101010101010101011101110111011101110111011101110111011101110111011101110111011111111111111
0010001000100010001000100010001000000000100010001000100010001000100010010101010101010101010101010101010101010101010101010101011010101010101010101010101110111011101110111011101110111011101110111011101110111011101111111111111
0100010001000100010001000100010000000001000100010001000100010001000100110011001100110011001100110011001100110011001100110011000101010101010101010101110111011101110111011101110111011101110111011101110111011101110111111111111
0000000000000000000000000000000011111111111111111111111111111111111111000000000000000000000000000011111111111111111111111111110000000000111111111111000000000000000000000000000000001111111111111111111111111111111100000111111
1000100010001000100010001000100000000010001000100010001000100010001000101010101010101010101010101010101010101010101010101010101010101010101010101010111011101110111011101110111011101110111011101110111011101110111011111111111

projective group of automorphisms generated by:
01000
00100
00001
00010
10000

00100
01000
10000
00010
00001