The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X 1 X^2 1 1 0 1 1 X^2+X 1 1 1 1 X 1 1 1 0 1 X 1 X 1 1 X^2+X 1 1 0 1 1 X^2+X 1 X 1 1 1 X^2 1 X^2+X 1 X^2 X 1 1 1 1 X^2+X 1 0 1 1 1 1 1 0 1 0 X^2 1 1 1 1 X 0 X X 1 X 0 1 1 1 1 1 X 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 1 0 X^2+X+1 1 X^2 X+1 1 X^2+X X^2+1 X^2+X 1 1 X^2 1 X^2+X 1 X^2+X 1 X+1 1 0 X+1 1 X+1 1 1 1 X+1 1 X^2 1 X+1 X^2+X X 1 0 1 X 1 1 1 X^2+X+1 X^2 X^2 1 X^2 1 X^2 X^2+1 X+1 X^2+1 X^2+X 1 X+1 1 X X^2 X+1 1 X X^2 X 1 X^2+X X+1 X X X+1 X X^2+X X^2+X X^2+X+1 1 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X X^2 X X^2 X^2+X 0 X X^2 0 X X^2 0 X X^2+X X^2+X X^2 X^2 0 X X 0 X^2 X^2 X 0 X X^2 0 X X^2 X^2 X X X^2 0 0 X 0 X 0 X X X^2+X X X X X^2 X^2 0 X X^2+X X^2 0 0 X^2+X X^2+X X^2 X^2+X X^2 X^2+X X^2 X X^2+X X^2+X X X^2+X 0 X^2+X X^2+X X^2 X^2+X 0 X^2 X^2+X X^2+X 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 generates a code of length 85 over Z2[X]/(X^3) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+122x^74+20x^75+421x^76+268x^77+737x^78+304x^79+1015x^80+900x^81+1344x^82+896x^83+1572x^84+1344x^85+1619x^86+952x^87+1277x^88+848x^89+893x^90+364x^91+626x^92+212x^93+300x^94+24x^95+156x^96+12x^97+82x^98+36x^100+15x^102+15x^104+7x^106+1x^108+1x^110 The gray image is a linear code over GF(2) with n=340, k=14 and d=148. This code was found by Heurico 1.16 in 99.9 seconds.