The generator matrix

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

generates a code of length 45 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+169x^36+24x^37+334x^38+204x^39+947x^40+648x^41+1474x^42+1336x^43+2183x^44+1720x^45+2164x^46+1328x^47+1661x^48+664x^49+796x^50+200x^51+351x^52+16x^53+94x^54+4x^55+45x^56+2x^58+17x^60+2x^64

The gray image is a linear code over GF(2) with n=180, k=14 and d=72.
This code was found by Heurico 1.16 in 9.12 seconds.