The generator matrix 1 0 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 X 1 1 0 1 0 1 1 X 0 0 1 0 0 1 1 X 1 X 1 1 1 1 X 0 0 1 1 0 0 1 1 1 X X 0 X 1 1 0 1 X X 1 1 X X 0 1 0 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X X X+1 1 X X+1 1 1 1 1 0 X 1 0 1 1 X X+1 X+1 1 X X 0 X X+1 0 X 1 X 1 0 X 0 1 X+1 X 1 1 X 1 X X 0 1 0 X 1 X+1 0 X 0 0 1 0 0 1 X+1 1 1 1 X X 1 0 1 X X+1 0 X+1 1 X 1 X+1 X 0 X 0 X 1 1 0 0 X X+1 0 1 1 1 0 X+1 X 1 X+1 1 X+1 X 1 0 X 1 0 0 X 1 X 0 X X X 1 1 X+1 0 0 X 0 0 0 1 1 X+1 0 X+1 0 1 X+1 1 X 0 X+1 0 1 X 0 X X+1 X+1 X X X X 1 1 1 0 0 1 1 1 X X+1 0 X X+1 X+1 X 1 X+1 X X+1 X+1 0 1 X 1 1 0 X+1 X 1 X+1 X+1 1 0 X X X+1 X+1 1 1 0 0 0 0 X X X 0 X X 0 X 0 X 0 X 0 0 X 0 0 X X 0 0 0 X X X 0 X 0 X 0 X X X 0 0 X X X 0 X X 0 0 X X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+88x^60+130x^62+92x^64+68x^66+50x^68+24x^70+17x^72+6x^74+15x^76+10x^78+6x^80+2x^82+3x^84 The gray image is a linear code over GF(2) with n=130, k=9 and d=60. This code was found by Heurico 1.16 in 0.0775 seconds.