The generator matrix

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

generates a code of length 10 over Z2[X]/(X^3) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+20x^9+21x^10+20x^11+1x^14+1x^16

The gray image is a linear code over GF(2) with n=40, k=6 and d=18.
As d=18 is an upper bound for linear (40,6,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 6.
This code was found by Heurico 1.16 in 0.000178 seconds.