The generator matrix

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

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+42x^4+68x^5+186x^6+496x^7+790x^8+920x^9+804x^10+496x^11+186x^12+68x^13+34x^14+5x^16

The gray image is a code over GF(2) with n=36, k=12 and d=8.
This code was found by Heurico 1.16 in 0.00933 seconds.