The generator matrix

 1  0  1  1  1  4  1 10  1  1  0  1  1
 0  1  1  0  3  1 11  1  8 12  1  1  0
 0  0  2  0  6  0  8 10  2 12 12  8  0
 0  0  0  2  6  2 12 12  6 10  4  2  0
 0  0  0  0  8  8  0  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+70x^8+280x^9+786x^10+2904x^11+5734x^12+13080x^13+5948x^14+2936x^15+685x^16+240x^17+82x^18+16x^19+6x^20

The gray image is a code over GF(2) with n=104, k=15 and d=32.
This code was found by Heurico 1.16 in 0.895 seconds.