The generator matrix

 1  0  1  1  1 10  1  1  1  1 10  1  1
 0  1  1  0  3  1  8 10  3  3  1 10  8
 0  0  2  0 14  8  2 14  4  0 14  6  4
 0  0  0  2 14 14 14  8  4 14  0  4  8

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

Homogenous weight enumerator: w(x)=1x^0+84x^9+377x^10+1256x^11+3331x^12+6288x^13+3354x^14+1240x^15+345x^16+92x^17+13x^18+3x^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 0.411 seconds.