length n = 108
dimension k = 3
alphabet length q = 5

minimum distance d = 86

generator matrix:
000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
010101011111111111110001010101020202020303030304040411121212121313131314141414222323232324242424333434343444
101010101123232323440010101010202020203030303040404011212121213131313141414141223232323242424242334343434344

projective group of automorphisms generated by:
100
001
010

100
001
010