The generator matrix

 1  0  1  1  1 X+2  1  1  1
 0  1 X+1 X+2  3  1  2  X  0

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+23x^8+16x^9+22x^10+2x^14

The gray image is a code over GF(2) with n=36, k=6 and d=16.
This code was found by Heurico 1.16 in 0.000165 seconds.