The generator matrix

 1  0  0  1  1  1  X X^2+X  1  1  0  1  1 X^2 X^2  1  0  1  1  1  1  X X^2  1 X^2  1 X^2+X  1  1 X^2+X  1 X^2+X  1  1  1  1 X^2 X^2  X X^2+X  1  X  1 X^2+X  1
 0  1  0  0 X^2+1 X+1  1  0 X^2 X^2+X+1  1  0  1  1  1 X+1  1 X^2+X X^2+1  X X^2 X^2  0 X^2+X  1  X  1  1 X^2+X  1 X+1  1 X^2  1  1 X^2  X  1  1  1 X^2+X+1  1  X  1  0
 0  0  1  1 X^2+1 X^2 X^2+1  1  0 X^2+X+1  1 X+1 X^2 X^2  X  X  1 X^2 X+1 X^2+X+1  X  1  1 X^2+1 X^2+X  0 X^2+X+1 X^2+X X+1  X X^2+X+1  0 X^2+X  0 X^2+X+1 X^2+X  1 X^2+X+1 X^2  0 X+1  X  1 X^2+X  0
 0  0  0  X  X  0  X X^2+X X^2+X  0 X^2 X^2  X X^2+X  0 X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2+X  X  X  0 X^2+X  X X^2+X X^2+X X^2+X X^2  0 X^2  0  0 X^2+X  0 X^2  0  X X^2  X  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+59x^40+170x^41+343x^42+222x^43+238x^44+214x^45+202x^46+122x^47+160x^48+92x^49+93x^50+54x^51+36x^52+18x^53+16x^54+2x^55+2x^57+2x^58+2x^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 0.135 seconds.