The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 1 X^2 X^2+X X^2+X 0 1 1 X^2 1 1 X^2 1 1 X 1 1 1 1 0 X^2+X 1 X 1 1 1 1 0 1 1 1 1 0 1 1 1 1 X 1 1 X 1 1 1 1 X^2+X 1 X^2+X 1 1 X 1 1 X^2 1 1 1 0 1 0 1 X^2 X^2+1 1 1 X^2+X X^2+1 0 X^2 1 1 0 X X X+1 1 X^2+X X^2+X+1 1 X X+1 1 0 1 X X+1 1 1 X^2+X 1 X^2+X+1 X 0 X X^2 X+1 X^2 1 X^2 1 X X^2+1 X+1 X^2+1 X^2 X^2+X+1 X^2+X X^2+X X^2+X+1 X^2+X+1 X^2+1 0 X X^2+1 1 X^2+X X^2+X+1 X^2 1 X^2 X^2 X+1 1 0 0 0 1 X^2 1 X^2+1 X^2+1 X^2+X 1 X+1 X X^2+X+1 X X+1 1 1 0 X^2+X X+1 X X^2 1 1 X+1 0 X^2+X+1 X^2+1 X+1 1 X^2+X X^2 X+1 X 1 X^2+1 X^2+1 X 1 0 X^2+X X^2+X+1 X^2 X^2 X^2+X 0 X^2+X+1 X X X X^2 X^2+X X+1 X^2+X+1 X^2 X^2+X 1 X^2+X X 1 0 1 1 X+1 1 X^2+1 0 1 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+50x^64+132x^65+91x^66+44x^67+79x^68+52x^69+11x^70+4x^71+9x^72+24x^73+4x^74+5x^76+5x^78+1x^90 The gray image is a linear code over GF(2) with n=268, k=9 and d=128. This code was found by Heurico 1.11 in 0.062 seconds.