The generator matrix

 1  0  0  1  1  1  X  1  1
 0  1  0  1  0  1  1  X X+2
 0  0  1  1 X+1  X  0  1  2
 0  0  0  X  X  2 X+2  0 X+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+106x^6+192x^7+477x^8+512x^9+456x^10+192x^11+106x^12+6x^14

The gray image is a code over GF(2) with n=36, k=11 and d=12.
This code was found by Heurico 1.11 in 0.00892 seconds.