The generator matrix

 1  1  1  1  1  1  1  1  2  8  2  2  1
 0  2  0  0  8 10 14  2 12  2 14  6 12
 0  0  2  0 10 10 10 12  2  4  0  4  8
 0  0  0  2  2  8 14 14  4  0 12  2  6

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

Homogenous weight enumerator: w(x)=1x^0+70x^9+298x^10+708x^11+1862x^12+2300x^13+1916x^14+680x^15+263x^16+78x^17+10x^18+4x^19+2x^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 0.153 seconds.