The generator matrix 1 0 0 0 1 1 1 1 X^2+X 1 1 X^2 0 1 0 X 1 1 1 1 X 1 X X^2+X X 1 0 1 X^2+X 1 X X^2 1 0 1 1 X X^2+X 1 0 0 1 1 1 1 1 1 1 1 X X^2 0 X^2+X 1 1 X 1 X^2+X X 0 X^2 1 X^2+X X^2 0 1 X 1 X^2+X X^2 1 1 0 1 X^2+X 1 1 1 1 1 0 1 0 0 0 X^2 1 X^2+1 1 X^2 X^2+X+1 1 X^2+X X^2+1 1 1 X X^2+X X X^2 1 X^2+1 X^2+X 1 1 X^2+1 X^2 X+1 X^2 X^2+X+1 1 1 X X^2+X X^2+X+1 X+1 X^2+X 1 X^2 X^2+X 1 X^2+1 X^2+1 X^2+1 0 X X^2+X+1 X^2 X+1 1 1 1 0 X X^2+1 1 0 0 1 1 0 X^2+X 1 1 0 0 1 X^2+X+1 1 1 X+1 0 1 0 1 X X X X X^2 0 0 1 0 0 X^2+1 X^2 1 1 X+1 X^2+X+1 1 1 X^2 0 X^2+1 X X^2+1 X^2+X 1 X X^2+X 1 X^2 X^2+X+1 X^2+X+1 X^2+X X^2 1 X+1 X^2+X+1 X+1 1 X^2+X X^2 0 1 X^2+X X^2 1 X+1 X^2+1 X^2+X+1 X^2+X X^2 X^2 X+1 X+1 X^2+1 X^2+1 X+1 X X X+1 1 X^2+X X+1 1 X+1 X^2 1 X^2+X+1 X^2+X X 1 X^2+X X 1 X X X^2+X+1 X^2+1 0 X^2+X 0 0 0 X+1 0 X^2 0 0 0 1 1 1 X^2+1 X 1 0 X+1 X^2+X X^2+1 X X+1 X^2+1 X+1 X X^2 X+1 X X^2+X+1 X+1 X+1 X^2 X^2 1 X^2 0 X+1 X^2+X 1 X^2+1 1 X X^2+X+1 0 X X^2+X+1 0 X+1 0 X^2+1 0 X^2+X 1 0 1 X+1 X^2+X+1 X 1 1 X X^2+X X^2 X^2+1 X^2+X+1 X X^2+1 X^2+X+1 X X X^2+X+1 X^2+X 1 0 X X+1 1 0 1 0 0 X X^2 X^2+X X X^2+1 X^2+X 0 0 0 0 X 0 0 0 0 X X X X X X X X^2 X^2 X X^2+X X^2+X X^2+X 0 X^2 0 X X^2+X X^2 X X^2 X^2 X^2+X X^2+X 0 0 X^2+X X 0 X^2 X^2+X 0 0 0 X^2 X^2 X 0 X^2 X^2+X X^2+X X X 0 0 X^2+X X^2+X 0 X X X^2 X^2 X X 0 0 X X X^2+X X^2+X X^2 X^2 X^2+X X^2 X^2 X 0 0 X^2 X^2+X 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+100x^71+350x^72+618x^73+720x^74+1074x^75+1050x^76+1298x^77+1190x^78+1426x^79+1190x^80+1336x^81+1249x^82+1214x^83+899x^84+794x^85+544x^86+478x^87+308x^88+244x^89+123x^90+100x^91+39x^92+12x^93+12x^94+6x^95+1x^96+2x^97+2x^98+2x^100+2x^103 The gray image is a linear code over GF(2) with n=320, k=14 and d=142. This code was found by Heurico 1.13 in 5.02 seconds.