The generator matrix

 1  0  1  1  1  8
 0  1 11  6  3  1
 0  0 12  0 12  8
 0  0  0 12 12 12

generates a code of length 6 over Z16 who´s minimum homogenous weight is 3.

Homogenous weight enumerator: w(x)=1x^0+16x^3+151x^4+752x^5+2256x^6+752x^7+151x^8+16x^9+1x^12

The gray image is a code over GF(2) with n=48, k=12 and d=12.
This code was found by Heurico 1.16 in 0.00275 seconds.