The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+14x^4+104x^5+274x^6+104x^7+13x^8+2x^10

The gray image is a code over GF(2) with n=48, k=9 and d=16.
This code was found by Heurico 1.16 in 0.000241 seconds.