The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^9+340x^10+652x^11+2141x^12+1836x^13+2188x^14+608x^15+313x^16+58x^17+8x^18+4x^19+1x^20

The gray image is a code over GF(2) with n=104, k=13 and d=36.
This code was found by Heurico 1.16 in 0.0869 seconds.