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.