The generator matrix

 1  0  0  1  1  1  2  1  1  8  8  1  1
 0  1  0  1  2  7  1 14  7  2  1  3  0
 0  0  1  1  1  2  3  2  0  2  0  8  4
 0  0  0  2  0  8  2  6 10  6 12 14  4
 0  0  0  0  8  0  8  0  8  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+39x^8+316x^9+1855x^10+5024x^11+14433x^12+22088x^13+14611x^14+5040x^15+1780x^16+284x^17+45x^18+16x^19+3x^20+1x^22

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 2.79 seconds.