The generator matrix

 1  1  1
 0 12  8

generates a code of length 3 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+3x^2+56x^3+3x^4+1x^6

The gray image is a code over GF(2) with n=24, k=6 and d=8.
This code was found by Heurico 1.16 in 3.7e-005 seconds.