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  0  1  1 X^2  1  1  1  X  1  1
 0  X  0  0  0  X  X  X  0  0  0  0  X  X  X  X  0 X^2 X^2+X X^2 X^2  X X^2+X X^2+X X^2  0  X X^2+X  0 X^2+X X^2  X X^2 X^2+X  X X^2  X  0 X^2 X^2 X^2+X  0  X X^2 X^2+X
 0  0  X  0  X  X  X  0  0  0  X  X  X  0  X  0 X^2  0 X^2+X  X X^2+X X^2  X  0 X^2 X^2+X X^2+X X^2 X^2+X X^2  0 X^2 X^2+X  0 X^2+X  X X^2 X^2  X X^2  0 X^2+X X^2 X^2+X  X
 0  0  0  X  X  0  X  X X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X^2 X^2  X  0 X^2+X X^2 X^2  X  X X^2+X X^2+X X^2+X X^2 X^2 X^2+X X^2  0 X^2+X X^2+X X^2 X^2  X X^2+X X^2+X X^2  0  X X^2+X  0 X^2+X

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+86x^42+24x^43+126x^44+80x^45+104x^46+24x^47+35x^48+18x^50+13x^52+1x^84

The gray image is a linear code over GF(2) with n=180, k=9 and d=84.
This code was found by Heurico 1.16 in 96.1 seconds.