The generator matrix 1 0 1 1 1 X^2+X 1 1 X 1 1 X^2 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2 X^2 X^2+X X^2 X 0 X^2+X X^2 X 1 1 1 1 1 1 1 1 1 1 X^2 X 1 1 1 1 1 1 0 X^2+X 0 1 1 X 1 1 1 0 1 0 1 X 1 1 1 1 1 0 1 1 X 1 1 1 1 X^2 0 X 0 1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X^2+X X^2 X X+1 X^2+1 0 X^2+X 0 X^2+X 1 1 X^2 X 0 X^2+X 0 X^2+1 1 1 1 X+1 X X^2+X 0 X X^2+1 1 X^2+1 1 X^2+X+1 X X^2+1 X^2+X+1 X+1 1 X+1 X X+1 X^2 1 X^2+X+1 X^2 X+1 X^2+1 1 1 X^2+X 0 0 X 0 X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2 X X X^2 X^2+X X^2+X X^2 0 X^2+X 0 0 X X 0 0 X X 0 0 X X X^2 X^2 0 0 X X X^2 X^2 X^2+X X^2+X 0 0 X^2+X X^2 0 X^2+X X^2+X 0 X X^2+X X^2 X^2 X^2+X X X^2 0 X^2+X X^2+X X^2 X X X^2+X X^2+X X X^2+X X^2+X 0 X^2 0 X^2+X X^2+X X X X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 generates a code of length 80 over Z2[X]/(X^3) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+191x^74+361x^76+394x^78+325x^80+335x^82+168x^84+140x^86+83x^88+25x^90+13x^92+2x^94+6x^96+1x^98+2x^100+1x^104 The gray image is a linear code over GF(2) with n=320, k=11 and d=148. This code was found by Heurico 1.16 in 0.644 seconds.