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 1 0 1 1 X^2+X 1 1 1 1 X 1 X^2 1 1 1 1 X^2+X 0 1 1 1 1 1 X X 1 0 1 1 1 1 1 1 1 X^2+X 1 1 X^2+X 1 1 1 X^2+X 1 X 1 1 1 1 1 1 X^2 1 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+1 1 X^2+X 0 X+1 1 X^2+1 X^2+X 1 X 1 X+1 X^2+1 1 0 0 X^2+X X^2+X+1 1 0 1 X^2+1 X^2+X X^2+1 X^2 1 1 X+1 X^2+X X^2+1 X^2 0 1 1 X^2+X 1 X^2+X+1 1 X^2+1 X+1 X^2+X X^2 X^2 1 X X+1 1 X^2+X+1 1 X^2+1 1 X X^2+X X+1 X^2+1 X^2+X+1 X^2+1 X+1 X+1 X^2 X^2+X+1 1 X^2+X 0 0 X^2 0 0 0 0 0 X^2 X^2 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 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 generates a code of length 72 over Z2[X]/(X^3) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+54x^65+107x^66+102x^67+207x^68+96x^69+245x^70+156x^71+217x^72+120x^73+196x^74+76x^75+189x^76+104x^77+84x^78+44x^79+22x^80+10x^81+4x^82+6x^83+2x^86+1x^88+1x^90+1x^94+2x^96+1x^104 The gray image is a linear code over GF(2) with n=288, k=11 and d=130. This code was found by Heurico 1.16 in 1.07 seconds.