The generator matrix

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

generates a code of length 10 over Z2[X]/(X^3) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+32x^6+122x^7+242x^8+390x^9+468x^10+400x^11+252x^12+104x^13+28x^14+6x^15+1x^16+2x^17

The gray image is a linear code over GF(2) with n=40, k=11 and d=12.
This code was found by Heurico 1.11 in -3.24e-008 seconds.