The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+278x^8+472x^9+2122x^10+4496x^11+13912x^12+22832x^13+14126x^14+4512x^15+2057x^16+440x^17+262x^18+16x^19+8x^20+2x^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 4.82 seconds.