The generator matrix 1 1 1 1 X X 1 1 X 1 0 X 0 X^2+X X X 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 generates a code of length 10 over Z2[X]/(X^3) who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+36x^4+40x^6+64x^7+254x^8+192x^9+888x^10+192x^11+212x^12+64x^13+88x^14+9x^16+8x^18 The gray image is a linear code over GF(2) with n=40, k=11 and d=8. This code was found by Heurico 1.16 in 0.00417 seconds.