The generator matrix

 1  0  1  1  1  4  2  1  6  1  2  1  1
 0  1  1  0 11  1 10  6  1  7  2 12 12
 0  0  2  6  0  2  2  4  4  2  2  2  6
 0  0  0 12  0  4  8  4  8 12  0  8  8
 0  0  0  0 12  4 12  8 12  4  0 12  8
 0  0  0  0  0  8  8  0  8  0  8  0  0

generates a code of length 13 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+158x^8+376x^9+1742x^10+5152x^11+15009x^12+20688x^13+14948x^14+5152x^15+1808x^16+376x^17+110x^18+15x^20+1x^24

The gray image is a code over GF(2) with n=104, k=16 and d=32.
This code was found by Heurico 1.16 in 2.95 seconds.