Dukt Twitter plugin float issue
Pretty sure PHP is interpreting that string as an int. Doing a var_dump on the variable shows int(596249628892364800). That's pretty much PHP's type casting at work.

While you could cast the variable as a string, there's actually an unused variable called id_str which is ideal to use.

Edit the file twitter\fieldtypes\Twitter_TweetFieldType.php. Replace line 48 from: 

$url = 'https://twitter.com/'.$tweet['user']['screen_name'].'/status/'.$tweet['id'];


To:

$url = 'https://twitter.com/'.$tweet['user']['screen_name'].'/status/'.$tweet['id_str'];