The generator matrix

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

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+33x^6+36x^7+56x^8+224x^9+327x^10+216x^11+68x^12+32x^13+23x^14+4x^15+3x^16+1x^18

The gray image is a linear code over GF(2) with n=40, k=10 and d=12.
This code was found by Heurico 1.16 in 0.00322 seconds.