The generator matrix

 1  1  1  1  1  1  X  1  1
 0  X  0  0  0  X X^2+X X^2 X^2
 0  0  X  0  X  X  X X^2  0
 0  0  0  X  X X^2  X  0 X^2+X
 0  0  0  0 X^2 X^2  0 X^2 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+20x^5+46x^6+64x^7+206x^8+344x^9+220x^10+64x^11+32x^12+20x^13+6x^14+1x^16

The gray image is a linear code over GF(2) with n=36, k=10 and d=10.
This code was found by Heurico 1.16 in 0.00202 seconds.