The generator matrix

 1  0  0  1  1  1  2 10  1  1 14  2  1
 0  1  0  1  2  7  1  1  4  3  0  2  8
 0  0  1  1  5  2  1  2  6  7  1 12  0
 0  0  0 12  4  8  0  4  4  4  4 12 12

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

Homogenous weight enumerator: w(x)=1x^0+50x^9+414x^10+1506x^11+3586x^12+5236x^13+3688x^14+1452x^15+363x^16+74x^17+10x^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 0.313 seconds.