The generator matrix 1 0 0 0 0 1 1 1 0 X^2 1 1 X^2+X 1 0 1 X^2+X X 1 1 1 X^2 1 X 1 0 1 X^2 0 1 X 1 0 1 X 1 X X^2 X^2 1 1 X 1 1 1 X 1 X^2 0 1 X^2+X 0 1 1 1 X 1 X 0 1 1 1 1 1 1 1 1 X^2 X^2 X 0 1 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 1 X^2+1 X+1 X^2+X+1 1 1 1 1 1 1 X X^2+X X^2+X 1 X^2+X 1 1 1 X+1 X 1 X^2 X^2 X 1 X^2+1 1 X 0 X^2+X 1 1 1 1 X^2+X X X^2+X+1 X^2+1 1 X 0 1 X^2 X+1 X^2+X+1 X X+1 X X 0 1 0 0 0 0 1 0 0 0 1 1 1 1 X^2 X^2+1 1 X^2+X+1 0 X^2+X 0 X^2 0 X+1 1 0 X X X^2+X X^2+1 X^2 1 X^2 0 X^2+X+1 X X^2+X+1 X^2+1 X^2+1 X^2+1 1 X^2+1 X 0 X+1 0 X^2 X^2+X+1 X^2+1 1 X^2+X X^2+1 0 X^2+X 1 X X^2+X X^2 X^2+X 0 1 1 X^2+1 X 0 X^2+1 X^2+1 X^2 1 0 X^2+X X+1 1 1 0 0 0 1 0 1 1 X^2 X^2+1 X^2+1 X X X 1 1 X^2+X+1 1 0 X^2 X^2+X+1 X+1 X^2+1 X^2+X 1 X^2+1 X X^2+1 X+1 1 X^2+1 X 0 1 X^2 X^2+1 0 X^2+X+1 0 0 X^2+X+1 X^2+X+1 X^2+X X^2 X^2+1 X X^2+X 0 X+1 X^2+1 X^2+X+1 1 1 X^2+X X^2+X X+1 X^2 X^2 X X^2 0 X+1 X^2 0 X^2+1 X+1 X^2+1 X X^2 X^2+X 1 0 0 0 0 1 1 X^2 X^2+1 X^2+1 X X^2+X+1 X^2+X 1 X+1 X^2+X+1 0 X X^2+1 X^2+X+1 X^2+1 X^2 1 X^2 X^2+X X^2+X+1 X+1 X^2+X X^2+X X+1 X^2+1 0 X^2 1 X^2+X 0 X^2+X+1 X^2+X+1 X^2 1 X^2+X 1 X^2+X 1 X 1 X X+1 X+1 X+1 X^2+X+1 X^2+X X^2+1 1 X^2+X X^2+X X^2+X+1 X+1 X^2+1 1 X X^2 0 X X^2+X X^2 X^2 0 X+1 X+1 X^2+X+1 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+311x^60+638x^61+1329x^62+1888x^63+2657x^64+3014x^65+4186x^66+4362x^67+5608x^68+5416x^69+6506x^70+5524x^71+5740x^72+4464x^73+4446x^74+3190x^75+2523x^76+1478x^77+1035x^78+534x^79+354x^80+146x^81+96x^82+48x^83+22x^84+12x^85+2x^86+6x^87 The gray image is a linear code over GF(2) with n=280, k=16 and d=120. This code was found by Heurico 1.13 in 56.5 seconds.