The generator matrix

 1  0  1  1  1  0  X  X  2
 0  1 X+1  0 X+1  1  2  X  X
 0  0  2  2  0  2  2  2  2

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+81x^8+24x^10+22x^12

The gray image is a code over GF(2) with n=36, k=7 and d=16.
This code was found by Heurico 1.16 in 0.00467 seconds.