The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 0 1 1 1 X^2+X 1 1 X^2+X 1 0 1 X^2 1 1 X 1 1 1 1 1 1 1 1 1 1 1 0 X^2+X 1 1 1 1 0 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 1 0 X+1 X^2+1 1 X^2+X X^2+1 1 X+1 1 0 1 X X^2+1 1 0 0 X+1 X^2 X^2 X+1 X^2+X+1 X^2+X+1 X^2+X X^2+1 X^2 1 1 0 X^2+X X^2+X+1 X+1 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 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 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+276x^40+304x^42+490x^44+352x^46+438x^48+112x^50+62x^52+10x^56+3x^64 The gray image is a linear code over GF(2) with n=180, k=11 and d=80. This code was found by Heurico 1.16 in 34.3 seconds.