The generator matrix

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

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+18x^5+68x^6+250x^7+318x^8+740x^9+312x^10+260x^11+64x^12+10x^13+4x^14+2x^15+1x^16

The gray image is a linear code over GF(2) with n=36, k=11 and d=10.
This code was found by Heurico 1.16 in 0.00425 seconds.