length n = 55
dimension k = 3
alphabet length q = 5

minimum distance d = 44

generator matrix:
0000000000111111111111111111111111111111111111111111111
0101111111001010202030304041121213131414223232424334344
1010123234010102020303040401212131314141232324242343434

projective group of automorphisms generated by:
100
001
010

100
001
010