length n = 112
dimension k = 3
alphabet length q = 5

minimum distance d = 90

generator matrix:
0000000000000000000000111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
0101010111111111111111000101010102020202030303030404040411121212121313131314141414222323232324242424333434343444
1010101011232323234444001010101020202020303030304040404011212121213131313141414141223232323242424242334343434344

projective group of automorphisms generated by:
100
001
010

100
001
010