The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 0 X X 1 1 1 X 1 1 X 1 1 1 1 1 1 X 1 X X 0 0 0 0 X X X 1 1 1 0 0 1 1 1 1 X 1 0 1 0 1 X X 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X+1 X 1 1 X 0 1 0 X+1 X 1 X 0 1 1 0 X X X+1 1 X 1 X 1 0 X 1 X 0 X+1 X 1 1 X+1 0 X+1 X X 0 0 X+1 1 X+1 0 X 1 X+1 0 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X 1 X+1 1 0 1 0 0 1 X+1 X 0 1 X+1 0 X+1 X 1 0 0 1 0 0 X 1 1 X+1 1 0 X 1 0 X 1 X+1 X+1 X 1 X 1 X X 0 1 0 X+1 X+1 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 0 1 X+1 0 0 0 X 1 X+1 X+1 X 1 X+1 X X X+1 1 X 1 X+1 0 0 0 0 0 0 X+1 1 X X X X+1 X+1 0 1 X+1 0 X X+1 1 X X+1 1 1 1 0 X+1 0 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 1 X 1 X X+1 0 X 1 0 X+1 1 0 1 1 X+1 0 1 X+1 X+1 X 1 X+1 1 X+1 X X+1 X X X+1 X X+1 1 1 X+1 X 0 X+1 X+1 0 0 X 0 1 X+1 1 0 X 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X X X X X X X 0 0 X 0 X 0 X X X 0 0 0 X 0 0 0 X 0 0 X X 0 0 0 0 X X 0 X 0 X 0 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X 0 X 0 0 X 0 X X X X X 0 X 0 X 0 0 0 X 0 X 0 X X 0 0 X 0 0 0 X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X X X 0 0 X X 0 0 0 X X 0 0 X 0 X X 0 X X 0 0 X X 0 0 0 X 0 0 0 0 0 0 X X X X 0 0 X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X X 0 0 0 X 0 X 0 X X X X 0 0 0 X X X 0 0 X X 0 X 0 0 0 0 X 0 X 0 X X X 0 0 0 X 0 0 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+73x^50+114x^51+207x^52+304x^53+443x^54+526x^55+535x^56+682x^57+796x^58+908x^59+932x^60+1028x^61+1057x^62+1050x^63+1140x^64+1034x^65+1022x^66+952x^67+800x^68+756x^69+515x^70+438x^71+393x^72+250x^73+153x^74+88x^75+72x^76+40x^77+32x^78+18x^79+11x^80+2x^81+3x^82+2x^83+5x^84+1x^90+1x^94 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 67.2 seconds.