The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+164x^4+32x^5+1280x^6+896x^7+4734x^8+2240x^9+4608x^10+896x^11+1364x^12+32x^13+128x^14+9x^16

The gray image is a code over GF(2) with n=36, k=14 and d=8.
This code was found by Heurico 1.16 in 0.174 seconds.