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 1 1 1 1 0 1 X 1 1 1 0 1 1 1 X 1 X 1 1 X X^2 0 1 1 X 0 1 1 X 0 X^2 1 1 0 X 0 X 0 0 X X^2+X 0 X^2 X X^2+X 0 X^2+X X^2 X^2+X X 0 X^2 X X^2 X^2+X 0 X^2+X 0 X^2 X^2 X X 0 X X 0 X^2 X X^2+X 0 X^2 0 0 X X X^2+X X X X^2+X X^2 X^2 X^2+X 0 X 0 0 X^2+X 0 X^2 X X X 0 X X^2 0 X^2+X X^2+X X^2+X X X 0 X^2 0 0 X X 0 X^2+X X 0 X^2 X X 0 X^2 X^2+X X X^2 X 0 X^2+X 0 0 X^2 X^2+X X 0 0 X X X^2 X^2+X X^2+X X^2 0 X X 0 0 X^2+X X^2+X X^2 X X^2 X X X X^2+X 0 X X X 0 X^2+X X^2 X^2 0 X X^2+X X 0 X^2+X X^2+X X X X^2+X X^2 0 X X^2+X X^2+X X 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 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 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 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+39x^62+60x^63+78x^64+114x^65+122x^66+174x^67+199x^68+192x^69+220x^70+178x^71+144x^72+152x^73+88x^74+74x^75+68x^76+40x^77+27x^78+18x^79+17x^80+14x^81+13x^82+8x^83+5x^84+2x^86+1x^114 The gray image is a linear code over GF(2) with n=280, k=11 and d=124. This code was found by Heurico 1.16 in 0.544 seconds.