The generator matrix

 1  0  0  1  1  1  0  1 X^2  1  1  X X^2+X  1  1  1  1 X^2 X^2+X  1  X X^2+X  1  0  1  1  X  0  1  1 X^2+X  1  1  1  1  1 X^2 X^2+X  1  1  1  1  0  0  1
 0  1  0  0  1 X^2+1  1  X  1  1 X^2+X  1 X^2 X^2+X+1  0  X X^2+1 X^2+X  1 X^2+X+1  1  1 X^2+X  1 X^2+1 X^2  1  1 X^2 X^2+1  1 X+1  1  0 X^2 X^2  1  0  X X^2+1 X^2+X+1 X^2+X+1  1 X^2  X
 0  0  1 X+1 X^2+X+1  0 X+1 X^2+1 X^2+X  1 X^2 X^2+1  1 X^2  1  X X^2+X  1 X^2  1 X^2 X^2+X+1 X^2+X  1  X  1 X^2+X X^2+1 X^2+1 X+1 X^2+1 X+1 X^2+1 X^2+X+1  1 X^2+X X+1  1  1 X^2+X+1  1  1 X+1  1  X
 0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0
 0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2  0 X^2  0  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+66x^40+202x^41+217x^42+288x^43+231x^44+266x^45+149x^46+216x^47+105x^48+90x^49+75x^50+68x^51+36x^52+18x^53+7x^54+4x^55+8x^56+1x^60

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 0.137 seconds.