length n = 44
dimension k = 4
alphabet length q = 3

minimum distance d = 28

generator matrix:
00010011001101110111011101110111111111111111
00100101010210111012101210221012111221122122
01001100120011011220122021012202112121212221
10001010202011102201220112202120121122112212

projective group of automorphisms generated by:
1000
0100
0010
0001

0001
1000
0100
0010