The generator matrix

 1  1  1  1  2  0  1  1  2  2  1  1  1
 0  2 12  6  6  2  0  6 10  6  0  6  0
 0  0  8  0  0  0  0  0  8  8  8  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  0
 0  0  0  0  8  0  0  8  0  8  0  8  0
 0  0  0  0  0  8  0  8  8  0  0  8  0
 0  0  0  0  0  0  8  8  8  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+26x^8+32x^9+125x^10+320x^11+1128x^12+832x^13+1128x^14+320x^15+125x^16+32x^17+26x^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 0.0164 seconds.