The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 0 1 1 0 1 X X 1 X 1 1 1 1 X 1 1 1 0 0 1 0 1 X X 1 1 1 0 1 1 1 1 1 0 1 0 X 1 0 1 0 1 1 0 1 1 0 0 X 0 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 1 1 1 0 0 1 X 1 X+1 1 1 X 1 X 0 0 X 1 1 0 1 X 1 X 0 X 1 X+1 X+1 0 X+1 1 X X+1 X 1 1 1 X+1 1 X+1 X X 0 X+1 1 1 X 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 1 0 1 X 1 X 1 1 0 0 X+1 X X 1 X+1 X+1 1 X+1 X 1 X 1 X X X+1 X X 1 X+1 0 X+1 0 1 X+1 1 1 X X+1 X 1 1 0 1 1 1 X X+1 1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X X X 0 X 0 0 0 X 0 0 0 0 X 0 X X X 0 X 0 0 0 X X X X X X X X 0 X 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 0 X X 0 X 0 X X 0 0 X 0 X 0 X 0 0 0 X 0 0 X X 0 X X X 0 X 0 X 0 0 X X 0 X X X X X X X X X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X X 0 0 0 X X X X X X 0 X X X X 0 X X X X 0 X 0 0 X X X X X X X 0 X 0 X X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 0 0 0 0 X X X X X X X X 0 X 0 X X 0 0 X X 0 0 X 0 0 X X 0 X 0 X X X 0 X X X X 0 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 0 0 X X 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X X 0 0 X X 0 X X 0 0 X 0 X 0 0 0 0 X X X X 0 0 X X X X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X 0 0 0 X 0 X X 0 0 0 0 X X X 0 0 X X 0 0 0 X X X 0 X 0 X X 0 X 0 X 0 0 X X X X X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 0 X X 0 0 X X X X 0 X X X 0 X 0 X X X 0 0 X X X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 X X X X X X 0 0 X generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+54x^58+54x^59+129x^60+146x^61+255x^62+244x^63+322x^64+390x^65+360x^66+470x^67+461x^68+496x^69+513x^70+516x^71+506x^72+484x^73+409x^74+474x^75+364x^76+394x^77+298x^78+228x^79+191x^80+118x^81+114x^82+58x^83+49x^84+20x^85+33x^86+4x^87+20x^88+7x^90+5x^92+5x^94 The gray image is a linear code over GF(2) with n=142, k=13 and d=58. This code was found by Heurico 1.16 in 11.8 seconds.