The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 X 1 1 1 X 1 X^2+X 1 1 1 1 X^2 X^2 1 1 1 0 X^2 1 1 1 1 X^2+X X^2+X 1 1 0 1 X^2 1 1 1 1 1 1 X^2+X 1 1 X^2+X X 1 1 1 1 X 1 X^2+X 1 0 1 1 1 X 1 X^2 1 0 1 1 0 X^2+X+1 1 X X+1 1 1 X^2+X X^2+1 X+1 1 X^2+X 1 X^2 X^2+1 X X+1 1 1 0 X X^2+1 1 1 X^2+X+1 X^2+1 1 X^2 1 1 1 X^2+X+1 1 1 1 X X^2+X+1 X X^2+X+1 X^2 X 1 0 X^2+X 1 1 X 1 X+1 0 1 X^2+1 1 X^2 1 X 0 X^2+X X^2 X+1 1 0 0 0 X 0 X^2+X 0 0 0 X^2 X^2 0 X^2 X X^2+X X X^2+X X X^2+X X X^2 X^2+X X X^2+X X 0 X^2 X 0 X^2+X 0 X^2 0 X 0 X^2+X X X^2+X X X^2+X X^2+X 0 X X X^2 X^2 X^2 0 X^2 X^2 0 X X X^2+X 0 0 X^2+X X X^2 0 X X^2+X X 0 X 0 0 0 0 X 0 0 X X^2 X^2+X X 0 0 X 0 X^2+X X^2+X X^2 X 0 X^2+X X^2 X^2+X X 0 X^2+X X X^2 X X 0 X X X X^2+X X^2 X^2+X X^2 X^2 X^2+X X^2+X X^2+X X^2 X^2+X X^2 X^2 X^2 X^2 X^2+X 0 X X 0 0 0 0 0 X X X^2 0 X^2 0 X^2+X X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+36x^56+92x^57+159x^58+396x^59+370x^60+712x^61+491x^62+928x^63+506x^64+984x^65+524x^66+858x^67+467x^68+670x^69+300x^70+330x^71+118x^72+82x^73+48x^74+34x^75+31x^76+18x^77+12x^78+14x^79+6x^80+2x^81+1x^82+1x^86+1x^88 The gray image is a linear code over GF(2) with n=260, k=13 and d=112. This code was found by Heurico 1.16 in 4.2 seconds.