The generator matrix

 1  1  1  1  2  1
 0  2  0  0  6  0
 0  0  2  0  2  0
 0  0  0  2  2  0
 0  0  0  0  8  0

generates a code of length 6 over Z16 who´s minimum homogenous weight is 2.

Homogenous weight enumerator: w(x)=1x^0+76x^2+240x^3+775x^4+2704x^5+8792x^6+2704x^7+775x^8+240x^9+76x^10+1x^12

The gray image is a code over GF(2) with n=48, k=14 and d=8.
This code was found by Heurico 1.16 in 0.0303 seconds.