The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 0 1 0 1 1 0 1 X X 0 1 1 X 1 0 X 1 1 1 X 1 1 1 0 1 X 1 0 1 X 0 X X 1 1 0 1 X 1 1 1 1 1 1 1 X X 0 1 X 1 0 X 1 X X 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 X X+1 1 X X+1 0 0 1 1 1 1 X 1 X 1 0 X+1 1 X 1 X X+1 0 1 1 X 0 1 1 0 1 X 1 1 X X 1 X 0 X 1 X 0 0 0 1 1 1 1 1 1 X 1 X X 0 X 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X+1 1 0 0 1 0 1 0 1 X 1 X+1 X+1 X+1 X 1 1 0 1 X X+1 X+1 0 X+1 0 1 1 0 0 X+1 1 X 1 X+1 1 X 1 0 1 X+1 1 X 0 0 0 X 0 X 1 0 0 X 1 X+1 1 X 1 X 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 X X X 0 0 0 0 0 X X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 X X 0 X 0 X 0 0 X X X X X X 0 0 X X X 0 X X X 0 X 0 X 0 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 X 0 0 X 0 0 0 X X X X 0 0 X 0 0 X 0 X 0 0 X 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 X X 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X 0 X X 0 0 X 0 X 0 0 X X X X X 0 0 0 0 X X X X X 0 X 0 0 X X X X 0 X X 0 X X X X X X X X 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X 0 0 X X X X 0 0 X 0 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 X X 0 X X 0 X X X X 0 0 X X X 0 X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 0 0 X X X 0 X 0 X 0 X X 0 0 X X X X X X X 0 0 X X X 0 X X 0 X X 0 X 0 0 X X 0 0 X 0 0 X X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X X X X 0 0 X 0 X X X 0 0 X X X X X X 0 X X 0 0 X X 0 X X 0 X X X 0 0 X X X X X X X 0 0 X 0 X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 X X X 0 X X X 0 X 0 0 0 X X X X X X 0 0 0 0 0 X 0 0 0 X X 0 X X 0 0 0 X 0 0 0 X 0 X 0 X 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 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 X X X X X X X X X X X X X 0 X X 0 X X 0 0 0 X X 0 0 X X 0 X X X 0 0 X X X 0 X X 0 X 0 0 X X X 0 0 0 0 generates a code of length 80 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+43x^64+26x^65+126x^66+114x^67+289x^68+260x^69+364x^70+370x^71+525x^72+552x^73+613x^74+796x^75+832x^76+924x^77+876x^78+1048x^79+855x^80+1048x^81+970x^82+958x^83+776x^84+796x^85+662x^86+530x^87+504x^88+384x^89+290x^90+240x^91+204x^92+100x^93+136x^94+36x^95+53x^96+6x^97+44x^98+4x^99+11x^100+10x^102+2x^104+5x^106+1x^120 The gray image is a linear code over GF(2) with n=160, k=14 and d=64. This code was found by Heurico 1.16 in 51.1 seconds.