The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  8  1  2  1
 0 12  0  0  0  4 12  4  8 12  8  0 12 12  4  4  4  0  4  4
 0  0 12  0  4  4  4  8  0  4  8  4  8  8  0  0  8 12  8  4
 0  0  0 12  4  0  4  4  8  0 12 12 12  8  4 12 12  0  4 12
 0  0  0  0  8  0  0  8  8  8  0  0  0  0  0  8  8  8  0  8
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8

generates a code of length 20 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+256x^16+384x^18+1024x^19+776x^20+1024x^21+384x^22+236x^24+8x^28+3x^32

The gray image is a code over GF(2) with n=160, k=12 and d=64.
This code was found by Heurico 1.16 in 6.65 seconds.