length n = 237
dimension k = 5
alphabet length q = 2

minimum distance d = 121

generator matrix:
000100010001000100010001000100010000000000100010001000100010001000100010011001100110011001100110011001100110011001100110011001100110011010101010101010101010101010111011101110111011101110111011101110111011101110111011101110111111111111111
001000100010001000100010001000100000000001000100010001000100010001000100101010101010101010101010101010101010101010101010101010101010101101010101010101010101010101011101110111011101110111011101110111011101110111011101110111011111111111111
010001000100010001000100010001000000000010001000100010001000100010001001100110011001100110011001100110011001100110011001100110011001100010101010101010101010101011101110111011101110111011101110111011101110111011101110111011101111111111111
000000000000000000000000000000001111111111111111111111111111111111111110000000000000000000000000000000011111111111111111111111111111111000000000000111111111111110000000000000000000000000000000011111111111111111111111111111111000000111111
100010001000100010001000100010000000000100010001000100010001000100010001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101110111011101110111011101110111011101110111011101110111011101110111111111111

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

00100
01000
10000
00010
00001