length n = 58
dimension k = 5
alphabet length q = 3

minimum distance d = 36

generator matrix:
0000100011001110111100111111110011111111011110111111111111
0001000101110011011111001122221100111122101221012211112222
0010011000020221101112121100121212002212220122201211111122
0100001010221001110111210212022212120110122011220111122212
1000010100102201111021112012101222211002212202122011121211

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

01000
10000
00100
00001
00010