length n = 23
dimension k = 4
alphabet length q = 3

minimum distance d = 14

generator matrix:
00011100011111111111111
01100111100011222211122
10101012212202001211212
11010021221220120012112

projective group of automorphisms generated by:
0010
1000
0100
0001

0001
1000
0010
0100