Hi,
When using the plugin with WP3.6, I get an error :
Strict standards: Declaration of Latest_Tweets_Widget::widget() should be compatible with WP_Widget::widget($args, $instance) in /Users/adamr/Documents/Work/Host/HOST-Website/build/content/plugins/latest-tweets-widget/latest-tweets.php on line 240
Simply removing the 'array' keyword in the 'widget' function parameters seems to fix this.