The generator matrix

 1  1
 0  8

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

Homogenous weight enumerator: w(x)=1x^0+30x^2+1x^4

The gray image is a code over GF(2) with n=16, k=5 and d=8.
This code was found by Heurico 1.16 in 2.19e-005 seconds.