The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X X^2+X 1 1 0 1 X 1 1 1 1 1 1 X^2 1 1 1 0 1 1 1 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2+X 1 1 0 1 1 1 1 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+1 1 X^2+X X+1 0 1 X^2+1 X^2+X 1 1 X+1 0 1 X^2+1 1 X X^2+1 0 X^2+X X^2+X X^2+X+1 1 0 X^2 X^2+1 1 X^2 X^2+1 X+1 0 X^2+X 0 X^2+X X X^2+X 1 X+1 1 X^2+X+1 X^2+X+1 1 1 X^2 0 X+1 X^2+1 X^2+X+1 X^2+X X X^2 X+1 1 X^2+1 1 1 X^2 0 X 0 X^2+X 1 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 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 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 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 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+203x^64+32x^65+220x^66+96x^67+250x^68+128x^69+200x^70+128x^71+258x^72+96x^73+220x^74+32x^75+162x^76+13x^80+4x^84+4x^88+1x^112 The gray image is a linear code over GF(2) with n=280, k=11 and d=128. This code was found by Heurico 1.16 in 10.1 seconds.