The generator matrix

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

generates a code of length 9 over Z2[X]/(X^3) who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+42x^5+159x^6+384x^7+993x^8+916x^9+990x^10+432x^11+158x^12+18x^13+3x^14

The gray image is a linear code over GF(2) with n=36, k=12 and d=10.
This code was found by Heurico 1.11 in 0 seconds.