The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  2  1
 0 12  0  0  0  4  0  8 12  4  4  8 12
 0  0 12  0  0  4  0  4  4  8  4  4  0
 0  0  0 12  0  4  4 12  8  0  8  4  4
 0  0  0  0 12  4  4 12  4 12  0  4 12
 0  0  0  0  0  8  8  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+122x^8+352x^10+192x^11+1056x^12+4736x^13+1056x^14+192x^15+397x^16+64x^18+24x^20

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 0.0955 seconds.