From the beta forums:
Thank you for your participation in the beta test for FINAL FANTASY XIV: A Realm Reborn.
The next Beta test is scheduled to begin at 2:00 a.m. (PDT)/9:00 a.m. (GMT) on July 5th, 2013.
Starting from the next Beta test, the stress testing of the duty finder is planned to be conducted. However, the final QA check of the system is still in progress.
As a result, there is a possibility where the duty finder will not become available at the start, but instead will be implemented through the update that will be conducted during the Beta test.
With the testing details including when the duty finder will become available and also the closing schedule of the next Beta test, we will be making another announcement before the test begins.
We look forward to your active participation in the beta test for FINAL FANTASY XIV: A Realm Reborn.
Direct Link: http://forum.square-enix.com/ARR-Test/threads/69886-Regarding-the-Next-Beta-Test-Schedule-%2807-03-2013%29
No end-date mentioned this time so it is likely to last more than the weekend.