The generator matrix

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

generates a code of length 9 over Z2[X]/(X^3) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+39x^6+136x^7+153x^8+376x^9+150x^10+120x^11+38x^12+8x^13+3x^14

The gray image is a linear code over GF(2) with n=36, k=10 and d=12.
This code was found by Heurico 1.11 in 0.016 seconds.