The generator matrix

 1  0  1  1  1 12  1  1 10  1 10  1 10  1  2  2  1
 0  1  1  0 11  1  2 13  1 15  1 14  1  6  6  0 12
 0  0  2  6  0  2  2  4  6  2 12  8  8  8  2 10  2
 0  0  0 12 12 12  8  0  8  4 12  4  8  0 12  0  4

generates a code of length 17 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+58x^13+327x^14+940x^15+1705x^16+2128x^17+1770x^18+892x^19+268x^20+70x^21+23x^22+8x^23+2x^24

The gray image is a code over GF(2) with n=136, k=13 and d=52.
This code was found by Heurico 1.16 in 0.169 seconds.