The generator matrix

 1  0  0  1  1  1  X  1  1
 0  1  0  X  3 X+3  1 X+2  2
 0  0  1  1 X+1  X  1 X+3  2

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+10x^6+68x^7+97x^8+188x^9+60x^10+60x^11+22x^12+4x^13+2x^14

The gray image is a code over GF(2) with n=36, k=9 and d=12.
This code was found by Heurico 1.13 in 1.11e-007 seconds.