The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  8
 0  0  8  0  0  0  0  0  0  0  0  8
 0  0  0  8  0  0  0  0  0  0  0  8
 0  0  0  0  8  0  0  0  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  8
 0  0  0  0  0  0  8  0  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  0  8
 0  0  0  0  0  0  0  0  8  0  0  8
 0  0  0  0  0  0  0  0  0  8  0  8
 0  0  0  0  0  0  0  0  0  0  8  8

generates a code of length 12 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+66x^4+495x^8+15260x^12+495x^16+66x^20+1x^24

The gray image is a code over GF(2) with n=96, k=14 and d=16.
This code was found by Heurico 1.16 in 0.146 seconds.