The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 1 1 0 X 0 X 1 X 1 1 1 1 0 1 0 1 1 0 X 1 X 1 0 0 1 X X 0 0 1 0 1 1 X 1 0 X 1 1 1 0 0 1 X X X 0 1 X 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X 1 X 1 X+1 1 0 1 1 0 X 1 0 1 1 1 1 X 1 1 1 0 1 X 1 0 0 1 X+1 X X+1 X 0 X+1 X X 1 X 1 1 1 0 1 1 X 1 X 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X X+1 X+1 0 1 1 1 X X+1 0 X 1 X X 0 X+1 X 0 X+1 0 X+1 1 1 0 0 0 1 1 1 0 X+1 0 1 X 1 1 X 0 X X+1 X X 1 X 0 X 0 1 X+1 X 1 X+1 1 0 X 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 0 X 0 X+1 X+1 1 X X+1 0 X X+1 1 0 1 X X+1 X X 1 X+1 0 X+1 0 1 X X X X+1 X+1 X 0 X X+1 1 1 0 0 0 1 0 X+1 1 1 1 X+1 X X X 1 X X X X 0 X+1 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 X X+1 0 X 1 X 1 0 X+1 X+1 X+1 X 1 0 0 X+1 1 X X X+1 X+1 X+1 X 1 X 1 0 X X+1 1 0 1 X+1 X+1 1 X X 1 0 X+1 0 1 X X 0 X+1 X 0 1 0 X 0 X X X+1 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X X+1 1 0 0 X+1 X 1 X+1 0 X+1 1 X+1 X+1 0 0 X+1 0 1 X X X 0 X+1 X X X+1 X X+1 X 0 0 X+1 X X+1 1 X+1 0 1 X+1 0 1 1 1 X+1 1 X 1 X 1 X+1 X+1 1 X+1 X+1 1 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X X X X 0 0 X 0 X 0 0 X X 0 X X 0 X 0 X X X 0 X 0 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 X X 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X X 0 X X 0 0 X X X 0 X X X X 0 X 0 0 X 0 0 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 X X 0 X 0 0 0 0 0 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+74x^57+174x^58+258x^59+396x^60+432x^61+509x^62+572x^63+728x^64+840x^65+859x^66+908x^67+939x^68+1036x^69+1023x^70+1000x^71+948x^72+986x^73+839x^74+736x^75+730x^76+598x^77+489x^78+394x^79+305x^80+234x^81+174x^82+90x^83+47x^84+22x^85+26x^86+10x^87+2x^88+2x^89+1x^90+1x^98+1x^102 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 77.5 seconds.