The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 1 1 1 1 0 0 1 0 X 1 1 X X 0 1 1 1 0 1 1 X 0 1 1 1 1 1 0 1 0 1 X X 1 1 X 1 0 X 1 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X X+1 X X X 1 X 0 X 1 0 1 0 1 1 X 1 X X 1 X 1 1 X+1 X 0 1 X 0 X+1 0 X X 1 1 X+1 X X 0 0 0 X 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X 0 0 0 X 1 1 X 1 1 X+1 1 X+1 X X 1 1 0 1 X 1 X 1 0 0 0 X+1 1 X 1 1 1 X X+1 1 1 0 0 1 X+1 1 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X X+1 1 0 1 X+1 0 1 X+1 X X X+1 0 X+1 1 0 1 1 X 1 1 X 1 0 X+1 0 X+1 X+1 1 0 1 0 X X 0 1 0 1 1 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X X X 0 X X 0 0 0 0 X X 0 0 X 0 X 0 0 X X X X 0 0 0 0 X 0 X 0 X X X X 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X 0 X 0 0 0 X X 0 0 X 0 X 0 X X X X 0 0 0 X 0 X 0 X X 0 0 X X 0 X 0 0 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 0 X 0 0 X 0 0 X X 0 X X X 0 0 X X X 0 X 0 0 0 X X X X X 0 X 0 X X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X 0 X X 0 0 X 0 X 0 X 0 0 X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 X 0 0 0 X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X X X X 0 X X X 0 0 X 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 X X 0 0 X X X 0 X X X 0 X X generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+86x^58+86x^59+186x^60+266x^61+273x^62+352x^63+379x^64+394x^65+419x^66+458x^67+498x^68+528x^69+469x^70+474x^71+492x^72+452x^73+442x^74+426x^75+298x^76+314x^77+260x^78+212x^79+149x^80+82x^81+81x^82+38x^83+34x^84+12x^85+13x^86+2x^87+10x^88+3x^90+1x^94+1x^96+1x^106 The gray image is a linear code over GF(2) with n=140, k=13 and d=58. This code was found by Heurico 1.16 in 11.2 seconds.