The generator matrix

 1  0  1  1  1  4  1  1  1  1  2  0  1
 0  1  1  0  3  1  0 11 15 10  6  2  0
 0  0  2  0  2  4 14  0  0  6  2  2  8
 0  0  0  2  2  6 14  8  2  8 14 12  8
 0  0  0  0  4  0  8  4 12  8  4  8  8

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

Homogenous weight enumerator: w(x)=1x^0+109x^8+478x^9+1684x^10+5208x^11+14864x^12+20884x^13+14797x^14+5224x^15+1728x^16+446x^17+94x^18+16x^19+2x^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 3.53 seconds.