The generator matrix 1 0 1 1 1 X 1 1 X^2 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X 1 1 1 X^2 1 0 1 1 1 1 0 X X X^2+X X^2+X 1 1 X^2 1 1 1 1 1 1 X X X^2 0 X X 0 X X 0 X X X^2 0 X^2 X^2 0 1 0 1 1 X^2 X+1 1 X X^2+1 1 0 1 1 X^2+X X^2+X+1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 X^2 0 X^2+X+1 1 X+1 1 X^2+X X X^2+1 1 1 1 1 1 1 X^2 0 1 X^2+X X X^2+X+1 X+1 X^2+1 1 X^2 X X 0 0 X^2+X X 0 X X X^2+X X^2 X X^2 X^2 0 0 0 0 0 X X^2+X X^2 X^2+X X 0 X X^2 X^2+X X^2 0 X 0 X^2 X^2+X X^2 X 0 X^2+X X^2+X X^2 X X^2 X^2+X X^2 X^2 X^2+X X X^2+X X^2 X^2+X X^2 X^2+X X^2 0 X^2+X X 0 X 0 X 0 0 X X 0 X X X X X^2 0 X^2 0 X^2+X 0 X^2+X 0 X^2 X X X X 0 generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+23x^64+136x^65+24x^66+8x^68+52x^69+8x^70+4x^77 The gray image is a linear code over GF(2) with n=264, k=8 and d=128. This code was found by Heurico 1.16 in 0.124 seconds.