The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 1 X X 1 1 0 1 1 0 1 1 X^2+X 1 1 1 1 1 X^2 1 X^2+X 1 1 1 1 X^2 1 1 1 X 1 1 X 0 1 1 1 X 1 1 X X X^2 1 1 1 X^2 1 1 1 1 1 1 1 X^2 X 0 X^2+X 1 1 0 1 1 0 X^2+X+1 1 X+1 X^2+X 1 X^2 X^2+1 1 X X^2+X+1 1 1 1 X 1 1 X^2+X 1 0 X+1 1 1 X^2+X X^2 X+1 X^2+1 1 X+1 1 X 1 X^2+X+1 0 1 X 1 X^2 1 X X^2+X+1 1 1 X^2 X^2+1 1 1 X^2+X X^2+X+1 1 1 1 0 X^2+X X^2+X 1 1 0 0 X X^2+X+1 0 0 X 1 X 1 X^2+1 X^2 0 0 X 0 X^2+X 0 X^2 X^2 X X^2+X 0 X^2+X X^2+X X^2 0 X X^2+X 0 X^2+X X^2 X^2+X 0 X X^2+X X^2+X X^2 0 X^2+X X^2 0 X^2+X X^2 X^2 X X X 0 0 X X^2 0 0 X 0 X^2+X X^2 0 X^2 X^2+X X^2 X^2+X X^2+X 0 0 X^2+X X^2+X X^2 0 X X^2+X X^2 X^2+X X X^2+X 0 X^2+X X 0 X^2+X X X^2 X^2 0 0 0 X 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2+X X^2+X X X^2+X X^2+X X X^2+X X^2+X X X^2+X X^2+X X^2+X X X^2 X^2 X^2+X 0 0 0 0 X X^2 X^2+X X^2 X^2+X 0 X^2 X^2+X X X^2+X X 0 X X^2 0 X 0 X^2+X 0 0 X X^2 X^2 X^2+X 0 0 X^2+X X X^2+X X X X^2 0 X^2 X^2+X X^2+X X 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 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 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 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 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 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+106x^65+230x^66+282x^67+293x^68+334x^69+378x^70+382x^71+319x^72+308x^73+320x^74+296x^75+308x^76+162x^77+128x^78+102x^79+27x^80+40x^81+26x^82+20x^83+7x^84+8x^85+6x^86+4x^87+3x^88+2x^89+2x^91+2x^96 The gray image is a linear code over GF(2) with n=288, k=12 and d=130. This code was found by Heurico 1.16 in 61.9 seconds.