The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 X 1 X^2+X 1 X^2+X 1 1 0 0 1 1 X^2 1 1 0 1 1 X^2+X X X^2+X 0 X^2+X 1 1 1 1 X 1 X^2+X 1 X^2+X 1 X^2 1 1 1 1 X^2+X X^2+X 1 1 1 1 1 X^2+X 1 1 1 1 X^2 1 1 1 X^2 X^2+X 0 X X X 1 0 1 0 0 1 X^2+X+1 1 X^2 0 X^2 X^2+X+1 1 X+1 1 0 1 X^2 X^2+X 1 1 X^2+X+1 X^2+X+1 X 1 X^2+X 1 X^2+X+1 1 0 1 1 X^2+X 1 X^2+X X^2+X X^2+1 X^2 X^2 0 1 1 X^2+X X^2+1 X X^2 X^2+1 X^2+1 X^2+X X^2 X 1 X^2+1 1 X X^2+X 1 0 X^2+X+1 X^2 X^2+1 1 0 X^2 X 1 0 1 1 X^2+X 1 0 0 0 1 1 X+1 0 1 X+1 1 X X+1 X X X+1 X+1 X^2+1 X X^2+X+1 0 1 X^2+1 X^2 1 X^2 X^2+X X X^2+X+1 X^2+X 1 0 X+1 1 0 X+1 X+1 X 0 1 X+1 0 X^2 1 X+1 1 X^2 0 1 X+1 1 1 X^2+X+1 X^2+X+1 X^2+1 X^2 X X^2+1 X^2+1 X X^2 1 X+1 X^2+X+1 1 0 0 1 X^2+X X^2+X 1 X 0 0 0 0 X X X^2+X X^2 X^2+X 0 0 X X^2 X 0 X^2 X^2+X X X^2 X^2+X X 0 X^2 X 0 X^2+X X^2+X X^2 X X^2+X X X^2+X X^2 X^2 X 0 0 X^2+X X^2+X X 0 X^2 0 X^2+X X^2+X X^2 X^2 X^2+X 0 0 0 X^2+X 0 X^2 X X^2 X^2 X 0 X X X^2+X X^2 0 X X 0 X^2 X X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+56x^63+245x^64+392x^65+525x^66+652x^67+659x^68+646x^69+686x^70+746x^71+702x^72+626x^73+575x^74+518x^75+393x^76+266x^77+155x^78+126x^79+97x^80+38x^81+38x^82+14x^83+8x^84+16x^85+3x^86+7x^88+2x^90 The gray image is a linear code over GF(2) with n=284, k=13 and d=126. This code was found by Heurico 1.16 in 3.44 seconds.