The generator matrix

 1  1  1  1  1  1  1  1  2  8  1  1  0  1  1  8  1  1  8  2
 0  2  0  6  0 14 10  8  6  2  4  2  2 10  6  2  0  2  2  6
 0  0 12  0  0  0  0  4  8  0 12  4  8  4  4  4  8  4 12  4
 0  0  0 12  0  8 12  0  8  8 12 12 12  0 12  4  4  0  4  0
 0  0  0  0 12 12  4 12  0 12  4 12  4  4  8  4  4 12 12 12

generates a code of length 20 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+68x^15+201x^16+328x^17+801x^18+1654x^19+2105x^20+1656x^21+802x^22+328x^23+152x^24+48x^25+29x^26+14x^27+5x^28

The gray image is a code over GF(2) with n=160, k=13 and d=60.
This code was found by Heurico 1.16 in 2.98 seconds.