length n = 58
dimension k = 5
alphabet length q = 2

minimum distance d = 29

generator matrix:
0000000000000000000000000011111111111111111111111111111111
0000101010101010101111111100000000010101010101010111111111
0001010101010101010111111100000000101010101010101011111111
0110000010111111010001011100010111000001011111101000010111
1100000111100001111011110000111100000011110000111100111100

projective group of automorphisms generated by:
10000
00100
01000
00011
00001