The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 1 0 1 X 1 0 1 0 X 1 0 1 1 0 0 X X 1 1 1 1 X 1 0 1 X 0 1 X X 1 0 1 1 0 0 1 1 0 1 1 1 1 X 1 1 1 1 1 0 0 0 X 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X X+1 1 X X 1 X X 0 1 1 X+1 0 X+1 X 1 1 0 1 0 X 0 X+1 0 X+1 X 0 0 1 X X 0 0 X X+1 X 1 1 1 1 1 1 0 0 X 1 1 X+1 X X X+1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X X+1 0 0 X 0 1 1 X+1 X+1 0 1 1 0 X X+1 X X+1 X 1 X+1 0 1 X 1 0 X 1 0 1 1 1 1 X X+1 1 0 X+1 X+1 X X 0 X+1 X+1 0 X+1 0 1 1 X X+1 1 1 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 X+1 X 0 1 1 0 X 0 X 0 X+1 X+1 X+1 1 0 X 0 1 X+1 X+1 X+1 X 0 X+1 0 X X 0 1 0 X+1 X X 0 1 X+1 X X X+1 X+1 X+1 X+1 0 1 1 1 X 1 1 X 0 X+1 X X 0 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 0 X+1 X 0 X+1 0 X X 1 1 X+1 X+1 X X 1 X+1 0 X+1 X+1 X X+1 X 1 1 0 1 X+1 1 X+1 X 0 X 1 1 0 X+1 0 0 X 1 0 X+1 0 X X 1 0 X 0 X X X+1 X+1 X+1 X+1 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 0 X X 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X X X X 0 X X 0 0 0 X 0 0 X 0 X X X X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 0 X X 0 X 0 X X X X 0 0 0 0 X X 0 X 0 X X 0 0 0 0 X X 0 X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X X 0 0 0 0 0 X 0 X 0 0 X 0 0 0 0 X 0 X 0 0 X X 0 X X X X 0 X X 0 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X X X X X X 0 X X 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 X X 0 0 0 generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+96x^57+167x^58+214x^59+375x^60+440x^61+599x^62+638x^63+656x^64+806x^65+894x^66+846x^67+850x^68+1014x^69+1046x^70+1088x^71+941x^72+934x^73+970x^74+810x^75+674x^76+580x^77+507x^78+390x^79+277x^80+194x^81+139x^82+98x^83+50x^84+30x^85+24x^86+12x^87+11x^88+2x^89+5x^90+3x^92+2x^96+1x^98 The gray image is a linear code over GF(2) with n=140, k=14 and d=57. This code was found by Heurico 1.16 in 89.8 seconds.