The generator matrix 1 0 0 1 1 1 X 1 1 0 0 X 1 1 1 0 X 0 0 X 0 1 1 1 1 1 1 1 X 0 X 0 X 0 X 0 1 1 1 1 0 X 1 1 1 1 0 X 1 1 0 1 1 0 1 1 X 0 1 X X 1 1 0 0 X X 0 0 1 0 0 1 1 1 0 X X 1 1 1 1 X 1 1 X 1 1 X 0 1 X+1 0 0 X+1 1 1 1 1 1 1 1 1 1 0 0 X 0 1 1 0 X 0 0 1 1 0 X 1 X X 1 X 0 1 X X X 1 0 0 0 0 X X X 0 0 1 1 1 0 1 X X+1 1 0 1 X+1 0 X X 1 1 0 X+1 1 X+1 1 0 X X+1 1 X X+1 X+1 X+1 1 1 1 1 1 0 X 1 X+1 0 0 X X 1 1 X 0 0 X+1 0 0 1 X X 0 X X 1 X X 1 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X X 0 X X X X 0 0 0 0 X X 0 X X 0 0 X 0 X X 0 0 X X 0 X 0 X X X X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 X 0 0 0 X X X X X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 X 0 0 X X X 0 X X 0 0 X X 0 0 0 X 0 X X X X X 0 X X X X 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 0 X X X 0 0 X 0 0 0 X 0 0 0 X X 0 X X X X X X X 0 0 X X X X 0 X 0 0 0 0 0 X X 0 0 0 X X 0 X 0 0 X X X 0 0 generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+104x^63+81x^64+91x^66+48x^67+68x^71+36x^72+28x^74+16x^75+16x^79+10x^80+8x^82+4x^87+1x^98 The gray image is a linear code over GF(2) with n=136, k=9 and d=63. This code was found by Heurico 1.16 in 432 seconds.