The generator matrix
1 1 1 1 2 1 1 2 2 2 1 1
0 12 8 4 12 0 8 4 0 8 12 4
generates a code of length 12 over Z16 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+60x^12+3x^16
The gray image is a code over GF(2) with n=96, k=6 and d=48.
This code was found by Heurico 1.16 in 0.00072 seconds.