The generator matrix

 1  1  1  1  1  1
 0 12  0  0  0  8
 0  0 12  0  0  8
 0  0  0 12  0  8
 0  0  0  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+30x^2+32x^3+127x^4+224x^5+3268x^6+224x^7+127x^8+32x^9+30x^10+1x^12

The gray image is a code over GF(2) with n=48, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00222 seconds.