If you want to embed one or more Tweets simply insert the Twitter URL directly in the page editor and WordPress will display it as a full Tweet.
Here’s a Tweet from the official WordPress Twitter stream which was generated simply by entering this URL in the page editor:
https://twitter.com/WordPress/status/806218721966571520
Say hello to WordPress 4.7 “Vaughan” https://t.co/rQNLctfuP2 pic.twitter.com/JIX8hkDzeK
— WordPress (@WordPress) December 6, 2016