The generator matrix

 1  0  1  1  1 X^2  1  1  1
 0  1  1  0 X+1  1  1 X+1 X^2
 0  0  X  0  0 X^2  X  X  0
 0  0  0  X  0 X^2+X X^2  X  X
 0  0  0  0 X^2  0 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+24x^5+78x^6+176x^7+430x^8+624x^9+444x^10+176x^11+64x^12+24x^13+6x^14+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 0.00497 seconds.