The generator matrix

 1  0  1  1  1  0  X  1  1
 0  1  1  0  1  1  0  2  2
 0  0  X  0  0  0  X  0  2
 0  0  0  X  0  0  X  2  2
 0  0  0  0  X  0  X  2  0
 0  0  0  0  0  X  X  X X+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+129x^4+946x^6+1152x^7+4049x^8+3840x^9+4028x^10+1152x^11+967x^12+114x^14+6x^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 0.178 seconds.