The generator matrix

 1  0  0  1  1  1  2  8  6 12  8  1  1
 0  1  0  2  5  7  1  1  1  6  1 12  4
 0  0  1  1  3  2  1  2  3  1  4  6  2
 0  0  0  8  0  8  0  0  8  8  8  8  8
 0  0  0  0  8  8  0  8  0  8  8  8  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+62x^9+290x^10+1586x^11+3158x^12+6180x^13+3196x^14+1580x^15+247x^16+62x^17+18x^18+2x^19+2x^20

The gray image is a code over GF(2) with n=104, k=14 and d=36.
This code was found by Heurico 1.16 in 0.22 seconds.