The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+X 1 1 0 1 1 X^2 1 1 X 1 1 1 1 X^2 X X X 0 1 1 1 1 X^2 0 X X X^2+X X^2+X X X 1 1 1 0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 X^2+X+1 1 X 1 1 X^2 X X^2+X+1 1 1 1 0 X^2+X X 0 X^2 X+1 X^2+X+1 X X X^2 X^2 1 1 X X 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+13x^40+64x^41+2x^42+20x^43+2x^44+8x^45+12x^46+4x^47+2x^50 The gray image is a linear code over GF(2) with n=168, k=7 and d=80. This code was found by Heurico 1.16 in 0.022 seconds.