The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  1  6  4  1  1  1  2  1  1
 0  1 11 14  5  1  0  3  1  6  4 13  1  1  3 11 13  6  0  0
 0  0 12  4  0  4 12  0 12  0 12  4  0 12  0  4 12  8  0  0
 0  0  0  8  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  8  8  0  0  8  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  0  8  0  0  8  0  8  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+45x^12+141x^14+128x^15+959x^16+1024x^17+2906x^18+7552x^19+7232x^20+7552x^21+2964x^22+1024x^23+936x^24+128x^25+118x^26+43x^28+15x^30

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 1.45 seconds.