The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 X^2 1 X^2 1 1 X^2+X 1 1 1 1 X^2+X 1 1 1 0 X^2 1 1 1 1 X 1 X 1 X^2 X^2 1 1 1 1 1 X 1 1 0 X^2 1 1 1 X^2 1 1 1 X^2+X 1 0 1 X 1 X 0 1 1 1 X^2 1 1 X 1 1 1 1 1 X^2 1 0 1 0 1 1 0 1 1 X X^2+X+1 1 1 1 X^2+X X+1 1 X^2 1 1 X^2+X 1 0 X+1 X^2+X X+1 1 X^2+1 X 0 1 1 1 X X^2+1 0 1 X^2+1 1 X^2+X+1 1 1 X^2 X^2+1 X X^2 X+1 1 X+1 X^2 1 1 X+1 X^2+X+1 X^2 1 X+1 0 X 1 X+1 1 X^2+1 1 X^2+1 1 1 X^2+1 X^2+X X^2+X 1 X^2 1 X^2 X^2 X^2 0 1 X+1 1 1 X X 0 0 X 0 0 0 0 0 0 X^2 X^2 0 0 X X^2+X X^2+X X X X X X^2+X X X X 0 X^2+X X^2 0 X^2+X X 0 0 X^2+X X^2 X X^2+X X^2+X X^2 X X^2 X^2+X 0 X^2+X X^2 X^2 X^2 0 X 0 X 0 X^2+X X^2 X X^2+X 0 X^2 X X^2 X X X X^2 0 X^2+X 0 X^2 0 X^2+X X^2+X X^2+X X^2 0 X^2 0 X X X X^2+X X^2+X 0 0 0 X 0 0 X X X X^2+X X X^2 0 X^2 0 X X X X^2 X 0 0 X^2+X X^2+X 0 X X^2+X X^2+X X^2 X X^2 X^2+X 0 X^2 0 X^2+X X^2 0 X^2 0 X^2+X X X^2+X X^2 X 0 X^2+X X X X^2 X X X^2 X^2+X 0 X^2 X^2 X^2+X X^2 X^2 X^2+X X^2 X^2+X 0 0 X^2+X X^2+X X X^2 X^2 X^2 X^2 0 0 X X X^2 0 0 X^2 0 0 0 0 X 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X X X X^2+X X X^2+X X^2+X X^2+X X X^2+X X^2+X X^2+X X^2+X X^2+X X X X X X X^2+X 0 X 0 0 X^2 X X^2+X X^2 X X^2 X 0 X^2 X^2 X^2+X X^2+X X^2+X 0 X 0 X^2 X X^2+X X^2+X X X^2 X^2 X X^2 X 0 X X^2+X X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 generates a code of length 80 over Z2[X]/(X^3) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+56x^71+171x^72+272x^73+366x^74+460x^75+553x^76+608x^77+695x^78+744x^79+673x^80+672x^81+632x^82+562x^83+456x^84+388x^85+336x^86+184x^87+104x^88+76x^89+62x^90+26x^91+17x^92+22x^93+16x^94+12x^95+6x^96+8x^97+3x^98+4x^99+2x^100+2x^101+1x^102+1x^104+1x^106 The gray image is a linear code over GF(2) with n=320, k=13 and d=142. This code was found by Heurico 1.16 in 5.91 seconds.