length n = 106
dimension k = 3
alphabet length q = 5

minimum distance d = 85

generator matrix:
0000000000000000000001111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0101010111111111111110001010101020202020303030304040411121212121313131414141422323232324242424333434343444
1010101011232323234440010101010202020203030303040404011212121213131314141414123232323242424242334343434344

projective group of automorphisms generated by:
100
001
010

100
001
010