The generator matrix

 1  0  0  1  1  1 14  1  1  1  1  1  1
 0  1  0  1  6  7  1  8  4  1  2  9 14
 0  0  1  1  3  2  3  0  3  7  1  5  0
 0  0  0 12  0  8 12  4  4  8  8  8  4
 0  0  0  0  8  8  8  0  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+166x^9+648x^10+2922x^11+6254x^12+12764x^13+6304x^14+2932x^15+591x^16+158x^17+24x^18+2x^19+2x^20

The gray image is a code over GF(2) with n=104, k=15 and d=36.
This code was found by Heurico 1.16 in 30.4 seconds.