The generator matrix 1 0 1 1 1 X^2+X 1 1 1 0 1 X^2+X 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 0 1 1 1 1 0 X^2+X 1 1 1 1 X^2 X 1 1 1 1 0 X^2+X X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 X^2 0 1 X+1 X^2+X X+1 1 X^2+1 X^2+1 0 1 X^2+X 1 X+1 0 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X^2+X X+1 X^2+1 1 1 0 X^2+X X+1 X^2+1 1 1 0 X^2+X 0 X^2+X 1 1 1 1 X^2+X+1 1 X^2+X+1 1 X^2 X X^2 X X^2 X X^2 X X^2 X X^2 X X^2 X 0 X^2 X 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 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 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 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+317x^64+128x^68+64x^72+2x^96 The gray image is a linear code over GF(2) with n=264, k=9 and d=128. This code was found by Heurico 1.16 in 55.1 seconds.