The generator matrix

 1  0  1  1  1  0  1  1  X
 0  1 X+1 X+2  1  1  0  0  0
 0  0  2  0  0  0  0  0  2
 0  0  0  2  0  0  0  0  2
 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+44x^4+32x^5+104x^6+384x^7+910x^8+1216x^9+784x^10+384x^11+188x^12+32x^13+8x^14+9x^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 0.0102 seconds.