I too couldn’t see the tutorial files in the update tool. The download link given by shurik2533 are the tutorial files for JavaEE5, not JavaEE6. Working on what John put I downloaded the files from the svn repository using:
$ svn export https://svn.java.net/svn/javaeetutorial~svn JavaEE6tutorial/
To download only the examples:
$ svn export https://svn.java.net/svn/javaeetutorial~svn/branches/javaee-tutorial-6/examples/ JavaEE6TutorialExamples