The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 X 0 X^2 X^2 X 1 X^2 X^2 1 1 1 1 0 X 1 0 X 1 1 X^2 X 0 1 X X X 0 1 1 1 X^2 1 0 X 0 0 0 0 0 0 0 X^2+X X X X X X^2 X^2+X 0 X X X^2+X X^2 X^2+X X^2 X X^2+X X^2+X 0 X^2+X X^2+X 0 X X^2 X^2 X^2+X X 0 0 X X^2 X^2 X^2 0 X^2 X^2+X X X X^2 X^2 X 0 0 X X X^2 X^2 X^2 X^2+X X X X X X^2+X 0 X^2 0 X^2 X X X^2 X^2 0 0 X 0 0 0 X X^2+X X X^2 X X^2+X 0 0 X X X^2 X^2+X X X^2 0 X^2 0 X^2 X^2+X 0 X^2+X X^2+X 0 X^2 X^2+X 0 0 0 X^2+X 0 X^2+X X^2+X X X X 0 X^2+X X^2 X^2 0 X^2 X^2 X^2+X X X X^2+X X^2 X 0 X^2+X X^2 X^2+X X X^2 X^2 0 X 0 X X 0 X^2+X 0 X 0 0 0 X 0 X X X 0 X^2+X X^2 X X^2+X 0 X 0 X X X^2+X 0 X^2+X X X^2+X X^2+X X^2 0 X^2+X X X^2 X^2 X^2+X X^2+X 0 0 0 X^2 X^2 X^2 X^2+X X X^2+X X X^2 0 0 X^2+X X^2 X X X X^2 X^2+X 0 0 X^2 X^2 X^2+X X X X 0 X^2+X X^2+X X^2 X 0 X X^2 X X 0 0 0 0 X X 0 X X^2+X X 0 X X^2 X^2+X X^2+X X 0 X 0 0 X^2+X X X^2 X^2 0 X^2+X 0 X^2+X 0 X^2 0 X^2+X X X^2 X^2+X X X X^2 X X 0 X X^2+X X X X^2 X^2 X^2+X 0 X^2 X^2 X 0 X^2 X X^2 0 X X^2 X^2+X X^2+X X 0 X X X X^2+X X^2 X^2+X X 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 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 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 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+141x^60+4x^61+389x^62+36x^63+551x^64+144x^65+700x^66+360x^67+882x^68+464x^69+989x^70+488x^71+848x^72+384x^73+629x^74+136x^75+466x^76+28x^77+241x^78+4x^79+147x^80+115x^82+34x^84+8x^86+1x^88+1x^94+1x^100 The gray image is a linear code over GF(2) with n=280, k=13 and d=120. This code was found by Heurico 1.16 in 6.37 seconds.