The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  1  2  1  2  2  1  1  1
 0 12  0  0  0  0  0  4  8 12 12  0  8  4  4  8  0 12  4  0
 0  0 12  0  0  0  0  4  0  0  0  4 12  8  4  4  8 12  4  0
 0  0  0 12  0  0  0  4  4  8  4  4  8  0 12  0  8 12  4  0
 0  0  0  0 12  0  4  4  4  4  8  0 12  4  0  4 12  4  0  0
 0  0  0  0  0 12  4  0  4 12 12  8  4  0  4 12  8  4  4  0
 0  0  0  0  0  0  8  8  0  8  0  8  0  0  8  0  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+96x^12+94x^13+260x^14+312x^15+513x^16+1068x^17+1643x^18+2616x^19+19550x^20+2616x^21+1646x^22+1096x^23+508x^24+308x^25+276x^26+72x^27+66x^28+10x^29+14x^30+2x^32+1x^34

The gray image is a code over GF(2) with n=160, k=15 and d=48.
This code was found by Heurico 1.16 in 3.48 seconds.