The generator matrix
1 1 1 1 X 1 X 2 0
0 2 0 2 2 0 0 2 2
generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.
Homogenous weight enumerator: w(x)=1x^0+10x^9+2x^10+2x^11+1x^12
The gray image is a code over GF(2) with n=36, k=4 and d=18.
This code was found by Heurico 1.16 in 0.000164 seconds.