length n = 40
dimension k = 4
alphabet length q = 3

minimum distance d = 27

generator matrix:
0001001100110101011101110111011111111111
0010010101021010101110121022101211122122
0100110012000102110112202101220211212221
1000101020201020111022011220212012112212

projective group of automorphisms generated by:
1000
0100
0010
0001

0001
1000
0100
0010