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.