The generator matrix 1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 0 1 X 1 0 1 X 1 1 X 1 1 0 1 1 0 0 1 1 X X 1 1 1 1 0 0 X X 1 1 1 1 1 1 X X 0 0 1 1 1 1 1 1 1 0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X 0 1 1 X+1 1 0 0 0 0 X+1 X 1 X 1 1 X X X X X X X X 1 1 X+1 X+1 1 1 1 1 X+1 X+1 0 1 0 1 1 1 1 1 0 0 0 X 0 X X 0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 1 1 X+1 0 X+1 X 0 1 X 1 0 X+1 X+1 X+1 X 1 X X 1 1 0 0 1 1 1 1 1 1 X X 0 0 X X X+1 0 X+1 0 1 1 X+1 X+1 0 0 X X X X 0 0 0 0 X X X 0 0 0 X X X 0 X X 0 0 X X 0 X X 0 0 0 X X 0 X 0 0 X X 0 X 0 0 X 0 X X 0 X 0 X 0 X 0 0 X X 0 0 X 0 X 0 X X 0 0 X X generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+28x^62+64x^63+31x^64+4x^78 The gray image is a linear code over GF(2) with n=126, k=7 and d=62. This code was found by Heurico 1.16 in 0.0516 seconds.