The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 0 1 1 1 0 1 X X X 1 0 1 1 1 1 0 1 1 0 1 X 1 1 0 1 X 1 X X 1 X 1 1 0 1 1 1 X 1 0 X 1 X 1 1 X 1 1 X 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 0 X+1 X+1 X 1 1 X 1 1 0 1 X+1 0 X X+1 1 1 X+1 X X 1 X+1 0 X 0 1 1 1 1 0 1 1 0 1 X+1 0 X X X+1 1 0 X 1 1 0 1 X 1 0 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 1 X+1 0 1 0 1 1 X X+1 0 X+1 X 0 0 X 0 X+1 1 1 X 1 X X+1 1 0 X X+1 X+1 X 1 0 1 0 X+1 X X 1 1 X+1 X+1 1 X 0 0 X+1 1 0 X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 X 0 X 0 0 0 X X X X X X 0 X 0 0 0 0 0 0 0 X X 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 0 X X 0 X X 0 X X X X X 0 0 0 0 0 X X X X X 0 X X X 0 X 0 0 X 0 0 0 X X 0 X 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X X 0 0 0 X X X 0 X 0 0 X 0 X 0 X X 0 0 X X X X X 0 X X X 0 0 X X X 0 X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 0 X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 X X 0 X X X 0 0 0 X X 0 X X 0 0 0 0 0 X X 0 0 X X X 0 X X 0 X 0 X 0 X X X 0 X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X 0 X X 0 0 X X X 0 X 0 0 X 0 0 X X X X X X 0 0 X X 0 0 0 0 0 X X 0 X 0 X X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 X X X X 0 X 0 0 0 X 0 X 0 X X X X 0 X 0 X 0 0 X X 0 X 0 X 0 X X 0 0 0 X 0 0 X 0 X X X X 0 X X 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 0 X X X X X X X X X X X X X X X X 0 X X X X 0 0 X X X 0 X 0 X X 0 0 0 X X X X 0 generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+65x^56+26x^57+158x^58+106x^59+299x^60+300x^61+375x^62+398x^63+628x^64+704x^65+778x^66+918x^67+834x^68+1064x^69+943x^70+1134x^71+987x^72+1114x^73+898x^74+934x^75+802x^76+646x^77+560x^78+474x^79+321x^80+204x^81+294x^82+122x^83+106x^84+36x^85+72x^86+10x^87+44x^88+16x^90+7x^92+2x^93+1x^94+2x^96+1x^102 The gray image is a linear code over GF(2) with n=142, k=14 and d=56. This code was found by Heurico 1.16 in 44 seconds.