The generator matrix
1 0 1 1 1 2 1 1 1 1 0 2
0 1 1 2 3 1 0 3 2 1 1 1
0 0 2 0 2 0 2 0 2 0 2 2
generates a code of length 12 over Z4 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+28x^12+3x^16
The gray image is a code over GF(2) with n=24, k=5 and d=12.
This code was found by Heurico 1.16 in 0.000326 seconds.