HTTP Error 429 when fetching tweets

I have a long list of keywords (around 700). I want to fetch all of them since February, without any other criterias. Now, I immediately get struck with "An error occured during an HTTP request: HTTP Error 429: Too Many Requests", and when I open given in link browser, everything works fine.
I tried to fetch for 1 day periods only (for example 01-02-2020 to 02-02-2020, etc.), but it still doesn't work (because of the same error). Any ideas how to solve it? I tried to sleep the script after such error, but even an hour of waiting doesn't seem to affect it in any way.

After some waiting, the script runs for around 10% of the tweets, and gets the error again.