The generator matrix

 1  0  0  1  2
 0  1  0  1  4
 0  0  1  1  0
 0  0  0  2  2
 0  0  0  0  8

generates a code of length 5 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+221x^2+2208x^3+13730x^4+33216x^5+13730x^6+2208x^7+221x^8+1x^10

The gray image is a code over GF(2) with n=40, k=16 and d=8.
This code was found by Heurico 1.16 in 0.262 seconds.