SMTP.starttls() TimeoutError on Windows 10

Today I have tried to send email with python:

import smtplib

EMAIL_HOST = 'smtp.google.com'
EMAIL_PORT = 587

EMAIL_FROM_LOGIN = 'sender@gmail.com'
EMAIL_FROM_PASSWORD = 'password'

MESSAGE = 'Hi!'

EMAIL_TO_LOGIN = 'recipient@gmail.com'

print('starting...')
server = smtplib.SMTP(EMAIL_HOST, EMAIL_PORT)
server.starttls()

print('logging...')
server.login(EMAIL_FROM_LOGIN, EMAIL_FROM_PASSWORD)

print('sending message...')
server.sendmail(EMAIL_FROM_LOGIN, EMAIL_TO_LOGIN, MESSAGE)

This script doesn't goes further than starting... print. I searched about this issue whole day, but found only something like:

"check that port isn't blocked..."

At least I got info about blocked/disabled/etc. port, what I don't have, is specifics of problem.

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Additional info: following some of advices I found earlier, I checked output of telnet smtp.google.com 587. The output is static Connecting to smtp.google.com.... It remains for like 2 mins, and then prints:

Could not open a connection to this host, on port 587: Connection failed

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UPD 1

I tried to open ports manually, on which python script has been run, but nothing changes...

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So, my question is: what should I do? Where I can find those blocked ports, how to unblock/enable them?

from SMTP.starttls() TimeoutError on Windows 10