The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1
0 12 0 4 0 0 4 4 8 8 12 12 8 8 12 4 8 4 12 0 0
0 0 12 4 8 4 12 8 8 4 12 8 0 12 4 0 4 4 0 0 12
generates a code of length 21 over Z16 who´s minimum homogenous weight is 19.
Homogenous weight enumerator: w(x)=1x^0+20x^19+17x^20+184x^21+8x^22+20x^23+5x^24+1x^36
The gray image is a code over GF(2) with n=168, k=8 and d=76.
This code was found by Heurico 1.16 in 0.00313 seconds.