length n = 60
dimension k = 5
alphabet length q = 2

minimum distance d = 30

generator matrix:
000010000100000011110000001111000011111100001111110111101111
000100001000011100010001110001011100011101110001111011110111
001000010001100100100110010010101101100110110110011101111011
010000100010101001001010100100110110101011011010101110111101
100001000011010010001101001000111011010011101101001111011110

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

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000