The generator matrix 1 0 0 0 1 1 1 X X^2+X 1 1 X^2 1 X^2+X 1 1 1 1 X^2+X 0 1 1 X^2 0 1 1 X^2 X X^2 1 1 1 1 0 X X 1 1 X X^2+X 1 X^2+X 1 X^2+X 1 0 1 1 1 1 1 1 1 X^2 0 1 X^2+X 1 X 0 0 0 X^2 1 X^2 0 1 0 0 X 0 X X 1 X^2+1 1 1 X+1 1 1 X^2 X^2 X+1 1 X^2+X 0 X^2+X+1 X^2+X 1 X^2 0 1 1 1 X^2+1 X 1 X+1 X^2 X 1 0 X^2+X X^2 X X^2+1 1 X^2 X^2 X^2 X^2 X^2+1 X X^2+X+1 0 X^2+X X^2+X+1 X^2 1 1 X+1 X^2 1 X^2+X X^2+X 1 X 0 X+1 X^2+X 0 0 1 0 X 1 1 1 X X^2+X X^2 X+1 X+1 1 X^2+X+1 0 0 X^2+1 X^2+X X X 0 1 X^2+X+1 X^2+1 X^2+X+1 X^2+1 X^2+X X^2+X X^2 X+1 0 X+1 1 X^2+X 0 1 X X^2+X 1 X^2+X X^2+1 X^2+X+1 1 X 1 0 1 1 X^2+X X+1 X^2+X+1 X^2 X^2+X+1 0 X^2+X 1 1 1 1 X 1 X^2+X X^2+1 X 0 0 0 1 X+1 X^2+X+1 0 X+1 X^2+X+1 X^2+1 X^2 1 X^2 X^2+X X^2+X+1 X^2+X+1 X X 1 1 0 1 X^2 X+1 X^2+1 X^2+X X X^2 X^2+1 X+1 X^2 X X^2+X+1 1 1 1 1 X 1 X^2+X 0 1 0 X^2+1 1 X^2+X+1 1 X^2 0 X^2+X X^2+1 X^2+1 X+1 0 X^2+X X^2+X X X^2+X+1 X^2+X+1 X^2 X 0 1 X^2 1 0 0 0 0 X^2 0 0 0 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 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 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+305x^56+420x^57+1030x^58+1184x^59+1831x^60+1928x^61+2520x^62+2720x^63+2972x^64+2960x^65+3054x^66+2692x^67+2774x^68+1952x^69+1688x^70+956x^71+823x^72+412x^73+254x^74+124x^75+115x^76+8x^77+24x^78+4x^79+11x^80+6x^82 The gray image is a linear code over GF(2) with n=260, k=15 and d=112. This code was found by Heurico 1.16 in 42.9 seconds.