The generator matrix

 1  1  1  1  4  1
 0  2 12  6 12  0
 0  0  8  8  0  0

generates a code of length 6 over Z16 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+13x^4+82x^5+69x^6+76x^7+10x^8+2x^9+3x^10

The gray image is a code over GF(2) with n=48, k=8 and d=16.
This code was found by Heurico 1.16 in 0.000185 seconds.