To get the 4 keys needed to retrieve your tweets, you'll need to create a Twitter App. Then head over to the admin panel of your radio website to fill in your keys.
CREATING A TWITTER APP
Head over to https://developer.twitter.com/en/apps, click on Create New App and fill in the required fields.

Click on Yes, I Agree on the Developer Agreement page and then click on Create Your Twitter Application.

Once your app has been created, head over to the Keys and Access Tokens tab.

Once there, head over to Your Access Token & click on Create my Access Token.

Your keys should now be available!
ENTERING YOUR TWITTER KEYS
Head over to the admin panel of your radio website: Parameters > Configuration > Social Networks
In the 4 fields under the title Twitter Timeline, fill in the 4 keys previously obtained.
Don't forget to click on Save. Now you can get your latest Tweets in the header or footer.