The generator matrix

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

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+144x^40+124x^41+278x^42+144x^43+256x^44+232x^45+240x^46+144x^47+213x^48+124x^49+92x^50+19x^52+24x^54+5x^56+6x^58+1x^60+1x^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 0.18 seconds.