The generator matrix

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

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+116x^6+128x^7+654x^8+256x^9+648x^10+128x^11+112x^12+4x^14+1x^16

The gray image is a code over GF(2) with n=36, k=11 and d=12.
This code was found by Heurico 1.16 in 0.616 seconds.