The generator matrix 1 0 0 1 1 1 X 1 1 X^2+X 1 1 X X^2+X X 0 1 1 1 1 X^2+X X^2+X 1 1 1 1 0 0 1 X 1 1 X^2 X 1 X^2+X 1 1 X^2+X X 1 1 X^2 X^2 X^2+X 1 0 1 1 1 1 1 X^2+X X^2 0 1 1 1 1 1 X^2 X^2+X 1 X 1 1 1 0 1 0 X 1 X^2+X+1 1 X^2+X 0 X^2 1 X+1 X^2+X 1 1 1 X^2+X+1 X^2+X 0 X^2+1 1 1 X^2+1 X 0 X+1 1 0 X^2+X 1 X^2+X X^2+1 1 1 X^2+X+1 0 X^2+X+1 X^2 X^2+X 1 X^2+1 0 1 X 1 X^2+X+1 1 X^2 X^2+X+1 X^2+1 1 1 1 0 1 X^2 X^2+X+1 X^2+X X+1 X^2 X 1 X^2+X 1 1 X^2+1 X 0 0 1 1 X^2+X+1 X^2+X 1 X+1 X^2+X 1 1 0 1 X+1 X X+1 1 X^2 X^2+X+1 X^2+X 0 X 0 X X^2+1 X^2+X+1 X+1 1 X^2+X+1 X^2+1 0 X^2 X X^2+X+1 X^2+1 1 X X^2 1 X X^2+X+1 X X^2 1 X^2 X^2+X 1 X+1 X X^2+1 X+1 1 0 1 1 X^2+1 1 X^2 X^2+X+1 X+1 1 X^2+X+1 X^2+1 0 X^2+1 X^2 X^2+1 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 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 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+48x^59+226x^60+356x^61+525x^62+550x^63+865x^64+530x^65+755x^66+660x^67+877x^68+650x^69+556x^70+394x^71+478x^72+224x^73+192x^74+122x^75+94x^76+24x^77+15x^78+16x^79+16x^80+6x^81+5x^82+2x^83+3x^84+2x^85 The gray image is a linear code over GF(2) with n=268, k=13 and d=118. This code was found by Heurico 1.16 in 3.56 seconds.