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.