The generator matrix 1 0 0 1 1 1 0 1 1 X 0 1 0 1 X 0 1 X 1 1 1 X X 1 X 0 1 0 X 1 1 1 1 0 1 X 1 0 1 1 1 1 X X 0 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 X 0 1 1 1 1 1 X X+1 1 1 0 X 1 1 X 0 1 1 1 1 0 X X+1 X 1 0 1 1 1 0 1 X+1 1 1 1 X X X 1 0 0 1 0 0 0 1 0 X X+1 1 1 X+1 X+1 X 0 0 1 1 1 0 1 X 1 1 X X X+1 1 0 1 0 0 1 0 X+1 X+1 X+1 X 1 0 1 0 1 X+1 0 1 X X+1 X X X+1 X 1 X X+1 X 0 X+1 1 X+1 X+1 0 0 1 0 X X+1 1 X+1 X+1 X+1 0 0 X X+1 0 1 0 0 0 X 0 0 0 0 0 0 X X X X X X 0 X 0 X 0 X 0 X X X X X X X 0 0 X 0 X 0 X 0 X X X 0 0 X 0 X X X 0 0 X 0 0 X X 0 0 0 0 X 0 X 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 X 0 X X 0 X X 0 X X X 0 X 0 0 X X 0 X 0 X X X 0 0 0 0 0 0 X 0 X 0 X 0 X X X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 0 X X X 0 X 0 X 0 0 0 X 0 X X X 0 0 X 0 0 0 X X X 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 0 X 0 X X X X 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X 0 0 0 X 0 X 0 X 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+71x^56+166x^58+221x^60+142x^62+130x^64+68x^66+78x^68+40x^70+45x^72+30x^74+21x^76+2x^78+9x^80 The gray image is a linear code over GF(2) with n=126, k=10 and d=56. This code was found by Heurico 1.16 in 0.179 seconds.