The generator matrix 1 0 0 1 1 1 X 1 1 X^2+X 1 1 X X^2+X X 0 1 1 1 1 X^2+X X^2+X 1 1 1 1 0 0 1 X^2 1 X^2+X 0 1 X 1 X 1 X^2+X 1 X^2 X^2+X X^2 1 1 1 1 1 1 1 1 X X^2 1 X X X^2+X 1 0 0 1 1 1 X X^2+X 1 1 1 0 1 0 1 0 X 1 X^2+X+1 1 X^2+X 0 X^2 1 X+1 X^2+X 1 1 1 X^2+X X^2+X+1 0 X^2+1 1 1 X^2+1 X 0 X+1 1 0 X^2+X 1 X^2 X^2+X 1 X^2+1 1 1 0 1 1 X^2+X+1 1 1 X^2+X X^2+1 1 0 X^2+X X^2 0 X^2+X X^2 1 X X+1 1 1 1 X^2+1 1 1 X^2+1 0 X+1 1 1 1 0 X^2 1 0 0 0 1 1 X^2+X+1 X^2+X 1 X+1 X^2+X 1 1 0 1 X+1 X X+1 X^2 1 X^2+X+1 X^2+X 0 X 0 X X^2+1 X^2+X+1 X+1 1 X^2+X+1 1 X^2+X 1 X X^2+1 X^2+1 X^2+X+1 1 X^2 X^2+X+1 X 0 X^2 1 X 0 X^2 1 X+1 0 0 X^2+X X 1 X^2+X X+1 X^2+1 X+1 X+1 X^2+X X^2 X^2 X^2+1 0 X^2+1 X^2 0 X^2+X 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+53x^62+288x^63+324x^64+626x^65+447x^66+824x^67+491x^68+870x^69+591x^70+902x^71+436x^72+804x^73+320x^74+450x^75+235x^76+208x^77+104x^78+90x^79+42x^80+50x^81+12x^82+6x^83+6x^84+2x^85+8x^86+1x^88+1x^90 The gray image is a linear code over GF(2) with n=280, k=13 and d=124. This code was found by Heurico 1.16 in 3.53 seconds.