The generator matrix

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

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+416x^40+860x^42+932x^44+704x^46+727x^48+284x^50+122x^52+40x^54+8x^56+2x^60

The gray image is a linear code over GF(2) with n=180, k=12 and d=80.
This code was found by Heurico 1.11 in 4.92 seconds.