The generator matrix

 1  1  1  1  1  1  2  8  2  1  2  1  1
 0  2  0  6  0  6  6  2  6  6  4  2  0
 0  0 12  0  0  4  0  8  4 12  8  0  0
 0  0  0 12 12  4  0 12  4  4 12  4  0
 0  0  0  0  8  0  0  0  8  8  8  0  0
 0  0  0  0  0  8  8  0  8  0  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+59x^8+116x^9+236x^10+596x^11+1744x^12+2664x^13+1768x^14+616x^15+235x^16+100x^17+44x^18+4x^19+8x^20+1x^24

The gray image is a code over GF(2) with n=104, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0796 seconds.