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 X 0 X 1 0 0 1 1 1 X 0 1 1 X 1 1 0 X 0 X 0 1 1 1 0 X X 0 1 0 0 X 1 0 1 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 1 X 1 X+1 0 X 1 X+1 1 0 1 X X 1 1 X+1 0 1 0 1 1 X+1 X 0 1 1 X 1 X 1 1 0 X+1 1 1 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 0 0 0 1 1 1 X X X+1 1 0 X X 1 X+1 0 1 X 1 1 0 X+1 1 0 X+1 1 0 1 0 X 0 1 1 X+1 X+1 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 1 X 1 1 X 1 1 X+1 1 0 X+1 X X 0 X+1 0 X+1 1 1 1 1 X+1 X X 0 1 X 1 1 X X X+1 X+1 X 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 0 0 X 0 0 X 0 X X X X 0 X X 0 X X X X 0 0 0 X X 0 X 0 X X 0 X 0 X X 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+89x^58+126x^60+94x^62+74x^64+42x^66+23x^68+16x^70+21x^72+5x^74+7x^76+10x^78+4x^80 The gray image is a linear code over GF(2) with n=126, k=9 and d=58. This code was found by Heurico 1.16 in 0.0712 seconds.