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

minimum distance d = 46

generator matrix:
0000000001111111111111111111111111111111111111111111111111
0101111110001010202030304041121213131414222323242433343444
1010123230010102020303040401212131314141223232424233434344

projective group of automorphisms generated by:
100
001
010

100
001
010