The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 X 1 1 1 1 1 0 X X 1 1 0 X X 0 0 1 X 1 1 X 1 1 0 1 1 1 1 1 1 1 X X X X 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 X 1 X+1 1 0 1 X X+1 1 X 1 1 0 1 0 1 X 1 1 X 1 0 1 0 1 0 0 X+1 1 X X+1 1 X X+1 1 0 1 0 X 1 0 X+1 1 X 1 0 X 1 X 0 X+1 X 1 X 0 X 1 0 1 X+1 X+1 0 0 1 0 0 0 0 X 1 1 1 1 X+1 1 1 0 X X X+1 X+1 X X+1 1 1 1 1 X 1 X+1 X 1 X 0 1 1 X X+1 X+1 0 X+1 X+1 X X 1 0 X+1 1 X 1 0 X+1 0 1 1 X X+1 0 0 X+1 1 X X X+1 X X+1 0 0 0 1 1 X+1 X X+1 X+1 0 X 1 X 1 X+1 1 X 1 1 X X+1 1 X X+1 1 X X 1 0 1 X 0 X+1 0 X+1 1 X 1 1 0 X+1 1 X X X X X+1 1 1 1 0 0 1 1 1 1 1 X+1 X+1 X+1 X+1 0 0 X X+1 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+88x^62+66x^64+50x^66+22x^68+8x^70+4x^72+8x^74+2x^76+1x^80+6x^82 The gray image is a linear code over GF(2) with n=130, k=8 and d=62. This code was found by Heurico 1.16 in 0.0684 seconds.