The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^8+88x^9+313x^10+410x^11+1323x^12+3856x^13+1314x^14+436x^15+303x^16+72x^17+37x^18+2x^19+3x^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 0.084 seconds.