length n = 20
dimension k = 6
alphabet length q = 4

minimum distance d = 11

generator matrix:
00001100001111011111
00002311110000101111
00110000230023110111
00230023002300111011
11000000323200111101
23000032000032111110

projective group of automorphisms generated by:
010000
100000
000010
000001
000100
001000

000100
001000
010000
100000
000010
000001