The generator matrix

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

generates a code of length 9 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+38x^5+160x^6+370x^7+990x^8+980x^9+992x^10+364x^11+160x^12+38x^13+2x^15+1x^16

The gray image is a code over GF(2) with n=36, k=12 and d=10.
This code was found by Heurico 1.11 in 0.00688 seconds.