The generator matrix

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

generates a code of length 9 over Z2[X]/(X^3) who´s minimum homogenous weight is 7.

Homogenous weight enumerator: w(x)=1x^0+40x^7+57x^8+84x^9+24x^10+32x^11+14x^12+4x^13

The gray image is a linear code over GF(2) with n=36, k=8 and d=14.
This code was found by Heurico 1.16 in 0.000484 seconds.