The generator matrix 1 0 0 1 1 1 0 X^2 1 1 X^2 1 X^2+X 1 1 X X^2+X X^2+X 1 X X 1 1 X^2 1 1 1 1 1 1 1 X^2 0 1 1 0 1 1 X^2+X 1 X X 1 1 1 1 X^2 1 X^2 1 1 1 1 1 X^2 X^2+X 1 1 1 X X X X^2 1 1 0 1 0 0 X^2+1 X^2+1 1 X X^2 1 1 X^2+X 1 X+1 X 1 X^2 1 X^2+X+1 1 X X^2+X 1 1 X^2+1 X X^2 1 X^2+X+1 X^2+X X^2+X+1 1 1 X^2+1 X^2 0 0 X+1 1 X 1 X^2+X X+1 X^2 0 X^2+X+1 X 1 1 X^2+1 X^2+X+1 X^2+1 X+1 1 1 1 X^2+X X X X 1 0 1 X^2+X+1 X 0 0 1 X+1 X^2+X+1 X^2 X^2+X+1 1 X X^2+1 1 1 0 X^2 0 1 1 0 X X+1 1 1 X^2+1 X^2 X X X+1 X^2+X+1 X X+1 X^2+1 1 X^2+X 0 X 1 X^2+1 X^2 X X^2+X X^2+X+1 X X+1 0 X^2+1 1 1 1 X X^2+X+1 X^2+X+1 X^2+X 1 X^2+X+1 X^2+X+1 X X^2 X+1 X^2 1 1 1 X+1 X^2 X^2+X 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+98x^61+179x^62+142x^63+132x^64+136x^65+77x^66+44x^67+60x^68+38x^69+22x^70+22x^71+25x^72+20x^73+1x^74+6x^76+12x^77+9x^78 The gray image is a linear code over GF(2) with n=260, k=10 and d=122. This code was found by Heurico 1.16 in 0.158 seconds.