The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 X 1 1 1 1 X^2+X X^2+X 1 1 1 X^2 1 1 1 X^2 X^2 1 1 1 X 1 1 1 1 X^2+X 1 1 0 0 X^2+X 1 1 1 X^2+X 1 1 1 X 1 1 X 1 1 1 1 X^2+X 1 1 1 1 1 X^2+X X 1 1 X^2 1 1 1 1 X^2 X^2 X^2 X 0 1 1 0 X^2+X+1 1 X X+1 1 1 X^2+1 X^2+X X^2+X+1 0 1 1 X 1 X+1 1 X 1 X^2 1 1 X^2 X^2+1 X+1 1 X^2+X 1 X X 1 X^2 1 1 1 1 X+1 X^2 1 1 X^2+X X+1 0 1 1 0 1 X^2+X+1 X X^2+X+1 X^2+X+1 1 X+1 X+1 X+1 X^2+1 X^2 1 X X X 1 X^2+1 X^2+X+1 X+1 X 1 1 X 0 0 0 X 0 X^2+X 0 0 0 X^2 X^2 X^2 0 0 X X^2+X X X X^2+X X^2+X X^2+X X X^2 0 X^2+X X X^2+X 0 X^2 X^2 X X^2 0 0 X X^2 X 0 X^2+X X 0 X^2+X X^2+X X^2+X 0 X X^2 X X X X^2 0 X X^2 X^2+X 0 X 0 X X^2 X^2+X X X^2 X^2+X 0 0 X^2+X 0 X X^2 X X^2 X^2+X 0 0 0 0 X 0 0 X X^2 X^2+X X 0 0 X X X 0 X^2 X^2+X X^2+X X^2+X X X X X X^2 0 X^2 X^2 X 0 X 0 X^2+X X^2 X^2 X^2 X^2 X X X^2+X X^2+X X^2 X^2 0 X^2+X X^2 X X X^2 0 X^2 X^2+X X^2 0 X^2+X X^2+X 0 X^2 X^2+X 0 X^2 X^2+X X X^2+X X^2+X X X X X^2 X X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 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 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+122x^64+72x^65+280x^66+280x^67+479x^68+612x^69+584x^70+660x^71+680x^72+820x^73+679x^74+724x^75+483x^76+588x^77+314x^78+252x^79+241x^80+84x^81+100x^82+4x^83+77x^84+22x^86+26x^88+5x^90+1x^92+2x^96 The gray image is a linear code over GF(2) with n=292, k=13 and d=128. This code was found by Heurico 1.16 in 5.38 seconds.