The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  1  2
 0  8  0  0  0  0  0  0  0  0  0  8  8  8
 0  0  8  0  0  0  0  0  0  0  8  8  8  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  8  0  8  0  8
 0  0  0  0  0  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  0  0  8  0  8  8  0  8  0
 0  0  0  0  0  0  0  0  8  8  8  0  0  8

generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+77x^8+296x^12+3328x^14+331x^16+56x^20+7x^24

The gray image is a code over GF(2) with n=112, k=12 and d=32.
This code was found by Heurico 1.16 in 0.0205 seconds.