The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 X 1 X^2+X 1 X^2+X 1 1 0 0 1 1 X^2 1 1 0 1 1 X^2+X 1 1 X^2+X X^2+X 1 1 1 0 1 1 1 0 1 X^2+X X^2 X^2 1 1 X 1 1 1 1 X^2+X 1 X^2+X 0 1 1 X^2 1 X^2 1 1 1 X^2 0 1 X^2 1 X^2+X X^2 1 0 0 1 0 0 1 X^2+X+1 1 X^2 0 X^2 X^2+X+1 1 X+1 1 0 1 X^2 X^2+X 1 1 X^2+X+1 X^2+X+1 X 1 X^2+X 1 X^2+X+1 1 0 X^2 X 1 1 X^2+X+1 X+1 X X^2+X X^2 X+1 X^2 X^2+X X+1 1 1 0 X^2+X+1 1 1 0 X^2+X+1 X^2+1 X^2+X X^2 X 1 1 X^2+1 X^2+1 1 X^2+X+1 1 0 X+1 X^2+X+1 1 1 X^2+X 1 0 0 1 1 1 0 0 1 1 X+1 0 1 X+1 1 X X+1 X X X+1 X+1 X^2+1 X X^2+X+1 0 1 X^2+1 X^2 1 X^2 X^2+X X X^2+X+1 X^2+X 1 X^2 X^2+1 X^2+X X^2+X+1 X+1 X^2+X X^2+X+1 1 X X+1 1 1 X^2+X X^2+X+1 X^2+X+1 1 X^2+X+1 0 X^2 1 1 X^2 X^2+X 1 X^2+1 X^2+X+1 X^2+X 1 X+1 X X X^2+X 0 X+1 X X X+1 X+1 X^2+1 X 1 X^2+X+1 X^2+1 X 0 0 0 X X X^2+X X^2 X^2+X 0 0 X X^2 X 0 X^2 X^2+X X X^2 X^2+X X 0 X^2 X 0 X^2+X X^2+X X^2 X X^2+X X X^2+X X X X X X^2+X X 0 X X^2 0 X^2+X X X X 0 X^2+X X^2+X X^2+X X 0 X^2+X X X^2 0 X^2+X X^2+X X X^2 X^2+X 0 X^2 X^2 X^2 0 0 0 X^2+X 0 X^2 0 X^2 X 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+86x^65+266x^66+338x^67+535x^68+618x^69+650x^70+814x^71+732x^72+630x^73+555x^74+648x^75+562x^76+490x^77+420x^78+270x^79+263x^80+104x^81+86x^82+62x^83+15x^84+20x^85+6x^86+10x^87+4x^89+1x^90+4x^92+2x^95 The gray image is a linear code over GF(2) with n=292, k=13 and d=130. This code was found by Heurico 1.16 in 3.66 seconds.