The generator matrix

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

generates a code of length 20 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+46x^13+148x^14+262x^15+513x^16+938x^17+2278x^18+6926x^19+10474x^20+6958x^21+2351x^22+978x^23+482x^24+238x^25+113x^26+26x^27+18x^28+12x^29+5x^30+1x^34

The gray image is a code over GF(2) with n=160, k=15 and d=52.
This code was found by Heurico 1.16 in 3.41 seconds.