The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 1 1 0 1 X 1 X 0 1 1 X 0 0 X 1 X 1 1 X 0 X 1 0 0 1 1 0 0 1 1 0 1 X 0 1 0 0 1 1 1 X 1 1 X 0 X X 1 0 1 0 X 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 X+1 1 1 1 1 1 1 X+1 1 1 1 0 1 X 1 X+1 1 0 X 1 X 0 1 X 0 X 0 X+1 X+1 1 X 1 1 X+1 0 1 X X 0 1 0 1 X 1 X X X 1 1 1 X X 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X 0 X X 0 X X 1 1 1 1 1 1 1 X+1 1 X+1 1 1 X+1 X X+1 1 X+1 1 1 0 1 X+1 1 X+1 X+1 X+1 X+1 X 1 0 0 X X 1 X 1 X 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 X+1 X+1 1 X X+1 1 X+1 0 X X 0 X+1 0 0 1 X X+1 0 X+1 0 X+1 X X 0 1 X X X+1 0 X+1 0 1 1 1 X+1 1 X+1 X 0 1 X 0 X+1 X 1 1 1 0 0 1 0 X X+1 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 1 X 1 1 X 0 0 X 0 1 X+1 1 0 1 1 0 X+1 X+1 0 X 1 0 X X X+1 X+1 X X 0 1 X+1 1 X 0 0 1 X+1 0 X+1 X X+1 X 0 X X+1 1 0 X+1 1 0 X+1 X 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 X+1 X 0 X X+1 1 1 1 X X+1 X+1 X X+1 1 0 0 0 1 X 1 X X+1 0 X 0 X 1 0 0 X 0 1 1 X+1 X 1 X X X+1 X X+1 1 X 1 X X+1 0 0 0 X X X X+1 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X 0 1 1 0 1 1 0 X+1 1 X 0 X X+1 X+1 X 1 X X+1 X+1 X 1 0 1 0 1 X+1 X+1 0 1 X 1 1 X+1 X 0 1 X X+1 1 1 1 X+1 1 0 0 X+1 X X+1 0 0 1 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+64x^57+161x^58+260x^59+357x^60+490x^61+589x^62+640x^63+692x^64+720x^65+851x^66+918x^67+985x^68+938x^69+983x^70+1050x^71+948x^72+940x^73+839x^74+850x^75+735x^76+600x^77+495x^78+398x^79+333x^80+186x^81+165x^82+92x^83+43x^84+28x^85+12x^86+16x^87+2x^88+2x^89+1x^118 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 77.1 seconds.