The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 X 1 1 X 1 X 1 X X X X X 0 X 0 X X 0 X 0 0 X X X 0 X 1 1 1 1 0 1 1 0 1 1 0 X+1 1 0 1 X+1 1 0 1 0 X+1 1 0 X+1 1 0 X+1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X 1 1 X 0 1 0 1 0 X 0 X 0 0 0 X 0 X X 0 X 0 X 0 X 0 X X+1 X+1 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X X 0 0 0 0 0 0 X X 0 X X X X 0 0 0 X 0 0 0 0 X X X X 0 X 0 X 0 X X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 X X X X X X 0 X 0 0 0 0 X X X X 0 0 X 0 0 X X X X 0 0 X 0 0 0 X X X X X X X 0 X 0 X 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X X 0 X X 0 X X X X X X X X X 0 0 X 0 0 0 X 0 0 X X 0 0 0 X 0 X 0 X X 0 0 0 0 X 0 X 0 X 0 X 0 0 0 X 0 X 0 X 0 0 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 0 X X X X 0 0 0 X 0 0 X 0 0 0 0 X 0 X X X X X X X 0 X 0 0 X 0 X 0 X X 0 X 0 0 X 0 0 0 X X X 0 0 X 0 0 generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+14x^66+82x^68+72x^70+21x^72+14x^74+18x^76+28x^78+5x^80+1x^136 The gray image is a linear code over GF(2) with n=142, k=8 and d=66. This code was found by Heurico 1.16 in 0.07 seconds.