The generator matrix

 1  1  1  2  1  1
 0 12  8 12  4  0

generates a code of length 6 over Z16 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+8x^5+45x^6+8x^7+1x^8+1x^10

The gray image is a code over GF(2) with n=48, k=6 and d=20.
This code was found by Heurico 1.16 in 0.000144 seconds.