The generator matrix

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

generates a code of length 9 over Z2[X]/(X^3) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+39x^4+80x^6+96x^7+141x^8+320x^9+120x^10+96x^11+101x^12+24x^14+6x^16

The gray image is a linear code over GF(2) with n=36, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00129 seconds.