The generator matrix

 1  1  2  1  1  2
 0  8  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^6+3x^8

The gray image is a code over GF(2) with n=48, k=5 and d=24.
This code was found by Heurico 1.16 in 0.000128 seconds.