length n = 20
dimension k = 8
alphabet length q = 3

minimum distance d = 8

generator matrix:
00001100000011111111
00001200111111112222
00110000000011221122
00000011112212121212
11000000121211222211
12000000000012122121
00120000211212211221
00000012000012212112

projective group of automorphisms generated by:
00100000
00000010
00000100
00010000
01000000
10000000
00001000
00000001

10000000
01000000
00200000
00010000
00002000
00000100
00000020
00000002