The generator matrix

 1  1  1  1  1  1  2  1  1  2  2  2  1
 0 12  0  4  0  0  4  4 12  4  4  4  0
 0  0 12  4  0 12  4 12  0  4 12 12  0
 0  0  0  8  0  0  0  8  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  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+46x^8+88x^9+65x^10+224x^11+144x^12+2960x^13+144x^14+224x^15+65x^16+88x^17+46x^18+1x^26

The gray image is a code over GF(2) with n=104, k=12 and d=32.
This code was found by Heurico 1.16 in 0.0243 seconds.