The generator matrix

 1  1  1  1  X  0  X  2  1
 0  X  2 X+2 X+2  X  X  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+2x^8+24x^9+3x^10+1x^12+1x^14

The gray image is a code over GF(2) with n=36, k=5 and d=16.
This code was found by Heurico 1.16 in 0.000179 seconds.