The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 1 1 0 X 0 1 1 X 0 X 1 1 1 X 1 0 X 1 X X 1 0 X X 1 1 1 0 1 1 X 1 X 1 1 1 1 0 1 1 0 X 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X X X+1 1 1 0 1 1 1 0 1 1 1 X 1 0 X 1 1 0 X 0 1 X 1 0 1 X X X+1 X+1 0 1 0 X 1 0 1 1 0 X 0 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X+1 X X+1 0 1 1 1 1 X+1 X+1 1 0 X 1 X+1 X X 0 0 0 0 1 X+1 X X+1 0 X+1 X+1 X+1 1 X+1 X 1 X 1 0 X+1 X+1 0 1 0 X X X+1 1 X+1 1 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 X+1 X+1 1 X 0 1 0 X 1 X+1 0 0 1 X 1 X 1 0 X X+1 1 1 1 0 0 X+1 X+1 X X 0 X 1 X+1 1 X+1 1 X+1 0 0 X X 1 X+1 X+1 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 X+1 X 0 X 1 X 1 1 0 0 X+1 0 1 0 X+1 1 X+1 0 1 0 X X+1 0 1 X X+1 1 X+1 X 1 0 1 1 0 X+1 X X+1 0 X+1 X+1 0 X+1 1 0 X+1 0 1 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 0 X+1 X 1 X X+1 1 0 0 X+1 0 X+1 X 0 1 X+1 1 X X+1 0 X X 1 0 X X+1 0 0 1 X X X+1 0 X 1 1 1 1 X+1 1 X+1 X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 0 X X 0 X 0 X 0 0 0 X 0 0 X 0 X X X 0 0 0 0 X X X X 0 X X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X X 0 X 0 X 0 X X X 0 X 0 0 X X X X X X X 0 0 X 0 0 X 0 X 0 X 0 X X 0 X 0 X X X 0 0 0 0 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+84x^50+102x^51+230x^52+304x^53+500x^54+502x^55+619x^56+724x^57+703x^58+874x^59+924x^60+1050x^61+995x^62+1078x^63+998x^64+1072x^65+1002x^66+924x^67+840x^68+658x^69+593x^70+500x^71+363x^72+258x^73+193x^74+108x^75+110x^76+28x^77+22x^78+8x^79+11x^80+2x^81+2x^82+1x^86+1x^110 The gray image is a linear code over GF(2) with n=126, k=14 and d=50. This code was found by Heurico 1.16 in 67.6 seconds.