length n = 20
dimension k = 8
alphabet length q = 4

minimum distance d = 4

generator matrix:
00000001000000000111
00000010000000111000
00000100000000000123
00001000000111000000
00010000111000000000
00100000000123000000
01000000123000000000
10000000000000123000

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

10000000
03000000
00200000
00030000
00001000
00000100
00000010
00000003