The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 1 X 0 0 1 0 X 1 1 1 1 1 0 0 0 0 1 1 1 X 0 X 1 1 X 1 0 X 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X 0 X 1 1 X+1 X 0 0 X+1 X 1 1 1 0 1 0 1 X 1 1 1 1 1 X+1 X X+1 0 1 X+1 0 X 0 X+1 X 1 1 1 0 X X 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 0 1 X X+1 0 X 1 X X+1 0 X+1 0 X+1 1 X+1 0 0 X+1 X 0 1 X+1 X 1 1 X 0 0 X+1 1 X X+1 X X+1 X 1 0 0 X 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 X+1 0 0 X 0 1 X+1 X X+1 X 0 X+1 X+1 1 X 1 X 1 X X+1 X+1 1 X 0 X+1 1 1 0 X X 1 X+1 0 X 0 1 1 X+1 X+1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X 0 X 0 0 X X 0 0 X X 0 0 X 0 0 0 X 0 X X X 0 0 0 X X 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 0 X 0 X X 0 X 0 0 0 X 0 0 X X 0 X X 0 X 0 0 0 X X X 0 X 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 0 X 0 X X X 0 X 0 X X X 0 X X X 0 0 X X X X 0 X 0 0 X 0 X X 0 0 0 X 0 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X 0 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 0 0 X 0 X X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X 0 0 X X 0 0 0 0 X 0 X 0 X X 0 X 0 X X 0 0 X X X X X X 0 0 X 0 X X X 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+100x^50+100x^51+246x^52+248x^53+426x^54+528x^55+611x^56+670x^57+718x^58+862x^59+941x^60+1052x^61+1067x^62+1164x^63+995x^64+1172x^65+960x^66+904x^67+841x^68+712x^69+602x^70+432x^71+363x^72+222x^73+171x^74+102x^75+76x^76+20x^77+47x^78+4x^79+14x^80+2x^82+7x^84+2x^86+1x^90+1x^92 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 66.8 seconds.