The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+210x^38+48x^39+598x^40+248x^41+1033x^42+472x^43+1268x^44+528x^45+1295x^46+448x^47+990x^48+248x^49+469x^50+56x^51+181x^52+59x^54+31x^56+6x^58+3x^60

The gray image is a linear code over GF(2) with n=180, k=13 and d=76.
This code was found by Heurico 1.16 in 8.06 seconds.