The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 X 1 1 1 X^2+X 1 1 X^2 1 X^2+X 1 1 X^2+X 1 1 1 X^2+X X^2 1 1 1 X^2 1 1 1 1 1 1 X^2+X 1 0 1 X^2 1 1 X X^2+X X^2+X 1 1 X^2 1 0 1 1 1 1 1 X 0 1 X 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+1 X^2+X 1 0 1 X 1 X+1 X^2 1 X^2+X+1 1 X^2+X+1 X 1 1 X^2+X 1 1 1 0 X^2+1 X^2 1 X^2+X+1 X+1 X^2+1 X^2+1 X X^2+1 1 0 1 1 1 X X^2+X 1 1 1 X^2+X 0 1 X+1 X X 1 1 X^2+X+1 X X^2+X 1 X X^2 X^2+X+1 0 0 X 0 X^2+X X 0 X X^2+X X X 0 X^2+X X X^2 X X^2 X^2 X^2+X 0 X 0 X^2 X^2+X 0 X^2 X 0 0 X^2+X X^2+X X^2+X X X^2 X X^2 X X^2 X^2+X X^2 X^2+X 0 0 0 X^2+X 0 X^2 X X^2+X X^2 X^2+X X^2 X^2+X X^2 X 0 X^2+X 0 0 X^2+X X 0 0 X^2 X 0 0 0 X 0 X X X X X^2 X^2+X X^2 0 X X X^2 0 0 X^2 X^2+X 0 X^2+X X X^2 0 X^2 X X 0 X X^2+X X X^2 X X X^2 0 X^2+X X 0 X 0 X X^2 X^2 X^2+X X X^2 0 X X^2+X X X^2+X 0 X X^2 X^2 X^2+X 0 0 0 X^2 0 X X 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+369x^60+360x^62+362x^64+294x^66+360x^68+174x^70+94x^72+2x^74+17x^76+2x^78+7x^80+6x^84 The gray image is a linear code over GF(2) with n=260, k=11 and d=120. This code was found by Heurico 1.16 in 4.49 seconds.