The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 X 1 1 X 0 X 1 1 X 1 1 1 1 1 X 1 1 1 X 0 X 1 X 1 1 0 X 0 0 1 1 1 0 1 1 1 X 1 0 0 0 X X 1 X X 1 0 X 1 X 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 1 1 1 X 0 1 0 X 0 1 X+1 0 1 1 0 1 X+1 X+1 X 1 1 1 X+1 0 X 0 X 0 1 X 0 X X 1 1 0 X 1 X X X 1 1 1 1 0 1 X+1 1 1 X+1 X X 0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 1 X X+1 0 1 X 1 0 X+1 X+1 0 1 X 1 X+1 X+1 0 X 0 1 X 1 X+1 1 X 1 1 1 1 1 0 1 0 0 X X 0 0 X+1 X X X X+1 X 1 1 0 X+1 X 1 1 1 0 0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X X+1 1 1 X+1 X X 0 1 0 0 X X 0 X X+1 1 1 0 0 X+1 X+1 X X X+1 X+1 1 1 X+1 0 0 X X X X 0 1 X X 1 1 X X 1 X+1 X 1 X+1 X+1 0 1 0 0 0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X+1 1 X+1 1 X 0 0 X+1 1 1 X+1 1 X 1 0 X+1 X+1 1 0 0 X+1 X+1 1 0 X+1 X X 1 1 1 0 0 X 0 X+1 X+1 X+1 X X 0 1 X X+1 X X+1 X X+1 X X 1 1 1 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 0 0 0 X X X X X X X X 0 0 X 0 0 0 0 X 0 0 0 X 0 X 0 X X X 0 X X 0 X X 0 X X X 0 0 X X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X X 0 0 X 0 X X 0 X 0 X 0 0 0 X X X X X X X 0 X 0 0 0 0 0 X 0 X 0 X X X X X 0 X 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 0 0 X X X X X X X X X X X X X 0 X 0 0 X 0 X X 0 X X X 0 X X 0 X X X 0 0 X X X X 0 X 0 0 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+58x^58+98x^59+163x^60+266x^61+318x^62+334x^63+396x^64+456x^65+417x^66+446x^67+511x^68+464x^69+518x^70+480x^71+425x^72+440x^73+382x^74+434x^75+357x^76+306x^77+242x^78+210x^79+161x^80+112x^81+95x^82+46x^83+31x^84+4x^85+17x^86+1x^88+2x^92+1x^102 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 10.9 seconds.