The generator matrix 1 0 0 1 1 1 X 1 1 X^2+X 1 1 X X^2+X X 0 1 1 1 1 X^2+X X^2+X 1 1 1 1 0 0 1 X 1 1 X^2 X 1 X^2+X 1 X 1 X^2+X 1 X 1 1 0 X X X^2 0 1 1 X X^2+X X^2+X X^2 1 X^2 1 1 1 1 0 1 1 1 0 1 0 X 1 X^2+X+1 1 X^2+X 0 X^2 1 X+1 X^2+X 1 1 1 X^2+X X^2+X+1 0 X^2+1 1 1 X^2+1 X 0 X+1 1 0 X^2+X 1 X^2+X X^2+1 1 1 X^2+X+1 0 X^2+X+1 X^2+X X^2+1 1 X+1 1 1 X^2 1 1 X 1 X^2 X^2+1 X^2 1 1 1 1 1 X X^2 X^2 X^2+1 X^2 X^2+X X+1 0 X 0 0 1 1 X^2+X+1 X^2+X 1 X+1 X^2+X 1 1 0 1 X+1 X X+1 X^2 1 X^2+X+1 X^2+X 0 X 0 X X^2+1 X^2+X+1 X+1 1 X^2+X+1 X^2+1 0 X^2 X X^2+X+1 X^2+1 1 X 1 X^2+X 0 X^2+X+1 X^2 1 X 1 0 1 X 1 X^2+X+1 X X^2+X+1 X^2+1 X^2+X X X^2 1 X^2 0 X^2+1 X^2+X+1 1 X X^2+X+1 1 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+56x^57+173x^58+352x^59+547x^60+618x^61+691x^62+748x^63+680x^64+712x^65+716x^66+656x^67+622x^68+520x^69+402x^70+264x^71+166x^72+124x^73+61x^74+16x^75+23x^76+14x^77+3x^78+12x^79+9x^80+4x^81+2x^82 The gray image is a linear code over GF(2) with n=260, k=13 and d=114. This code was found by Heurico 1.16 in 3.56 seconds.