The generator matrix

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

generates a code of length 20 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+56x^12+4x^13+40x^14+44x^15+142x^16+292x^17+936x^18+684x^19+3776x^20+684x^21+968x^22+292x^23+112x^24+44x^25+88x^26+4x^27+8x^28+16x^30+1x^32

The gray image is a code over GF(2) with n=160, k=13 and d=48.
This code was found by Heurico 1.16 in 0.182 seconds.