The generator matrix 1 0 0 1 1 1 0 X^2 X^2 X^2 1 1 1 1 X X^2+X 1 1 X^2 0 1 X^2 1 1 1 0 1 X X^2+X 1 0 1 X^2+X X^2+X X^2 X 0 X 1 1 1 1 1 1 1 1 1 X X^2+X X 1 X^2+X 1 1 X^2+X 1 X^2+X X^2+X X^2 X^2 0 0 X^2 X^2 X^2+X 1 1 0 1 0 0 X^2+1 X^2+1 1 X 1 1 X^2 X^2 X^2+1 X^2+1 X^2+X 0 X^2 0 1 1 X^2+X+1 1 X^2+1 X^2+1 X^2 1 0 X^2+X X^2 X^2+1 X^2+X X^2+1 X X X^2+X X^2 X 0 X+1 X+1 X^2+X+1 X+1 X^2+X+1 X+1 X^2+X+1 X X^2+X 1 1 1 X 1 X^2+X X 1 X^2+X 1 1 0 0 0 X^2 X^2 0 1 X^2+X X 0 0 1 X+1 X^2+X+1 X^2 X^2+X+1 1 X 1 X X^2+1 1 X^2+X 1 1 X^2 X^2+1 X^2 1 0 X^2+X+1 X 1 X+1 X^2+X X^2+X 1 1 0 1 X^2+X+1 1 1 1 1 1 1 X+1 X^2+X+1 0 X^2+1 X 1 X X X^2+1 0 1 X X^2+X+1 X+1 X^2 1 0 X X^2+1 X 1 1 1 X X X X^2+X+1 X X^2+1 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 generates a code of length 67 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+351x^64+336x^66+104x^68+64x^70+88x^72+48x^74+8x^76+24x^80 The gray image is a linear code over GF(2) with n=268, k=10 and d=128. This code was found by Heurico 1.16 in 1.6 seconds.