The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  0
 0  1 11  6  5  1  5  0  1 13  8  1
 0  0 12  0  0  8  4 12  4  0  4  4
 0  0  0 12  0 12  4  4  8  4  8  4
 0  0  0  0  8  0  0  8  8  8  8  8

generates a code of length 12 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+51x^8+144x^9+432x^10+2160x^11+2616x^12+2160x^13+432x^14+144x^15+51x^16+1x^24

The gray image is a code over GF(2) with n=96, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0718 seconds.