The generator matrix

 1  1  1  1  1  1
 0 12  0  0  0  4
 0  0 12  0  0  4
 0  0  0 12  0  4
 0  0  0  0 12  4
 0  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+66x^2+495x^4+7068x^6+495x^8+66x^10+1x^12

The gray image is a code over GF(2) with n=48, k=13 and d=8.
This code was found by Heurico 1.16 in 0.00871 seconds.