The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X^2 0 0 0 0 0 0 0 0 X^2 2X^2 2X^2 X^2 X^2 X^2 0 2X^2 X^2 2X^2 X^2 0 2X^2 0 X^2 X^2 0 2X^2 X^2 X^2 0 X^2 2X^2 0 2X^2 2X^2 0 X^2 0 2X^2 2X^2 2X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 2X^2 2X^2 2X^2 0 0 2X^2 X^2 2X^2 X^2 0 X^2 X^2 0 2X^2 X^2 0 2X^2 X^2 2X^2 0 0 X^2 X^2 X^2 0 0 2X^2 2X^2 0 2X^2 X^2 2X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 2X^2 0 2X^2 0 0 2X^2 X^2 X^2 2X^2 0 X^2 0 2X^2 0 2X^2 2X^2 0 2X^2 0 X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 2X^2 0 0 0 0 X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 0 2X^2 2X^2 0 2X^2 X^2 0 2X^2 2X^2 2X^2 X^2 0 0 2X^2 X^2 0 2X^2 X^2 2X^2 X^2 2X^2 0 0 2X^2 X^2 X^2 2X^2 X^2 2X^2 0 X^2 X^2 0 0 0 0 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 2X^2 0 2X^2 0 X^2 0 X^2 X^2 X^2 X^2 2X^2 0 X^2 X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 2X^2 0 generates a code of length 45 over Z3[X]/(X^3) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+268x^81+6084x^90+144x^99+62x^108+2x^135 The gray image is a linear code over GF(3) with n=405, k=8 and d=243. This code was found by Heurico 1.16 in 52.7 seconds.