Konstantin Kovshenin

Twitter Embed requires no configuration, it works out of the box right after activation. Copy a link to a tweet on Twitter.com and paste it on a line by itself in your post or page editor. When viewing the post, you’ll see that the link has been replaced with the embedded tweet with options to reply, retweet, favorite and follow.
The plugin uses Twitter’s original widgets API, the shortcode and embed HTML are available too. Embed HTML is reversed to a Tweet shortcode when HTML is filtered (for authors or contributors). The tweets themselves are cached in post meta for better performance.

Twitter Embed

Easily embed tweets in your posts and pages by posting the tweet URL on a line by itself or by using a shortcode provided by the Twitter interface.

Christopher Carson

This plugin adds a ‘tweet’ shortcode to embed tweets using Twitter’s shortcode format, 
for example:
[tweet https://twitter.com/OnionSports/status/145262716104351747 ]
<ol>
<li>The plugin uses Twitter’s statuses/oembed API endpoint to retrieve embedded tweets identified by the id at the end of the url in the shortcode parameter</li>
<li>It caches retrieved tweets on the server to minimize API usage.</li>
<li>Optionally, it adds the necessary javascript from Twitter in document <code><head></code>.</li>
<li>Allows you to control the width of the embedded tweet.</li>
<li>Fixes a <code>clear:both;</code> issue in Twitter’s CSS.</li>
<li>Tweet functionality (e.g., retweet and follow buttons) can be displayed in multiple languages.</li>
</ol>

Modern Media Tweet Shortcode

Adds 'tweet' shortcode for embedding tweets using Twitter's shortcode format.

Twitter Embed vs Modern Media Tweet Shortcode