The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+83x^8+184x^9+534x^10+1512x^11+3465x^12+4784x^13+3502x^14+1552x^15+536x^16+152x^17+58x^18+8x^19+11x^20+2x^22

The gray image is a code over GF(2) with n=104, k=14 and d=32.
This code was found by Heurico 1.16 in 0.363 seconds.