The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 X 1 X^2+X 1 X X^2 1 1 X 1 1 0 0 1 1 1 X 0 1 X^2 1 1 1 1 X^2+X X 1 1 0 0 1 1 X^2+X 0 X^2+X X X^2+X 1 1 X^2+X 1 1 1 X X 1 X^2+X 1 1 1 X X X^2 1 1 X^2+X 1 1 1 0 1 0 0 1 X^2+X+1 1 X^2 0 X^2 X^2+X+1 1 X+1 1 1 X^2+X 1 X X 1 X X^2+1 X 1 X+1 1 X^2 1 1 1 X^2 1 X^2+X X^2+X+1 X^2 1 1 X^2 X^2+X+1 1 1 X^2+X 0 X 1 1 0 1 X+1 X^2 1 X^2 1 X 1 1 0 X^2+X X^2+X+1 0 0 X^2+X 1 X^2+X X^2+1 0 X 1 X^2+1 0 0 0 1 1 X+1 0 1 X+1 1 X X+1 X X X+1 X^2+1 1 X X^2+X 0 X^2 X+1 X^2+X 1 X+1 0 1 1 1 X^2+X 0 1 X^2+X+1 1 0 X^2 X^2+X+1 X^2+X X+1 X X^2+X+1 X^2+X X^2 X^2+1 1 X^2+X+1 1 1 0 X X^2+X+1 X^2+X+1 X+1 X^2+X X 0 X^2 X^2 1 X+1 X^2 X 1 X^2+1 1 X^2+X X^2+X+1 1 X^2+X+1 X^2+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 0 0 X^2 X^2 X^2 X^2+X X 0 X^2 X^2+X 0 0 X^2+X X^2+X X^2 X^2+X 0 X^2 X^2 X^2+X X^2+X X X 0 0 X^2+X X X^2 X^2+X X X X X^2+X X X^2+X X 0 X^2 X 0 X X^2+X 0 0 X^2 0 X 0 X^2+X X^2 X X^2 0 X 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 0 0 0 0 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 X^2 X^2 0 0 X^2 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 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 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+73x^62+248x^63+346x^64+602x^65+551x^66+778x^67+589x^68+768x^69+620x^70+720x^71+547x^72+714x^73+404x^74+448x^75+253x^76+188x^77+121x^78+100x^79+48x^80+26x^81+19x^82+6x^83+2x^84+4x^85+2x^86+4x^87+6x^88+2x^89+2x^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 3.45 seconds.