The generator matrix 1 0 0 0 0 1 1 1 0 X^2 1 1 1 0 0 1 X^2 1 1 1 1 1 X^2+X X 1 1 0 X^2 X^2+X 1 1 X X^2+X 1 1 1 1 1 1 1 1 1 1 X^2 X^2+X X 1 X^2 1 1 X^2+X X^2 1 X^2 X^2+X 1 X 1 X 1 0 X^2 0 0 1 0 1 0 0 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X 1 X^2+1 X+1 X^2+X+1 X+1 1 1 1 X+1 1 1 1 X X^2+X X^2+X 1 X^2 X^2+X+1 1 X X+1 1 1 X X^2+X+1 X^2 X^2+X 1 1 1 1 X X^2+X X+1 X^2 0 X^2+X 1 1 X^2+1 1 X+1 X X^2 X^2+X X 1 X^2+X X^2+X 0 0 1 0 0 0 1 1 1 1 X^2 X^2+X+1 X+1 1 X X X^2+X+1 X+1 X^2+X X^2+X X^2 X^2+X X^2+X+1 X^2+1 X+1 X^2+X+1 X^2+X 0 X^2 X^2+1 0 X^2+X+1 1 1 X^2+X+1 0 0 0 X+1 X^2+X+1 0 X^2+X X^2+X X 0 X^2+1 X 1 1 X 1 1 0 X^2 X^2+X X^2+X+1 X 1 1 X^2+X X X^2+X X 1 X^2+X 0 0 0 1 0 1 1 X^2 X^2+1 X^2+1 X 1 X X^2+X 1 X+1 X^2+X X^2+1 X^2+X 1 X^2+1 X^2+X X^2+X+1 X+1 0 1 1 X 0 X^2 0 0 0 X^2 X^2 1 X^2+X X^2+X+1 X^2+X+1 X^2+1 0 X^2+1 X^2+1 X^2+1 X^2+X 0 X X^2+X X^2+X+1 1 X^2+X+1 X+1 X^2+1 X+1 X X^2+X 0 1 X^2+1 0 1 1 1 0 X^2 0 0 0 0 1 1 X^2 X^2+1 X^2+1 X X^2+X+1 X^2+X+1 0 X+1 X+1 X^2 X X^2+1 X X+1 X X^2+1 X^2+X+1 0 X^2 X^2 X^2+X X^2+1 1 1 X X+1 X^2 X+1 X^2+X X X+1 X^2+X X+1 X+1 X^2 X^2+X+1 X X+1 X X^2+X X^2+X+1 X^2+1 X^2+X 1 X^2+1 X^2+X X^2 X X^2+X X+1 1 X^2+X X^2+X+1 0 X X^2+1 X^2+X X^2+X+1 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+174x^55+580x^56+1240x^57+1646x^58+2550x^59+2885x^60+4216x^61+4437x^62+5952x^63+5659x^64+6638x^65+5854x^66+5860x^67+4790x^68+4382x^69+2936x^70+2508x^71+1300x^72+906x^73+444x^74+284x^75+133x^76+82x^77+43x^78+14x^79+12x^80+8x^81+2x^83 The gray image is a linear code over GF(2) with n=260, k=16 and d=110. This code was found by Heurico 1.13 in 51.4 seconds.