The generator matrix

 1  0  1  1  1  4  1 14  2  1  1  1  6
 0  1  1  0 11  1 10  1 12 13 12  5  1
 0  0  2  6  4  6  6  0  2  0  6  4 12
 0  0  0 12  0  4  8 12 12 12  0  4 12
 0  0  0  0  8  0  8  8  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+126x^9+264x^10+1674x^11+3054x^12+6124x^13+3104x^14+1684x^15+207x^16+118x^17+24x^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 52.5 seconds.