Latest update:

Phase 3 Test 4:
The next Beta test is scheduled to begin at:
2:00 a.m. (PDT) on July 5th, 2013.
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.

Also someone in the group I'm in on Facebook said he found this posted somewhere…

Play dates for the Beta Phase 3 are held on weekends starting from Friday at 2am PST and ending on Sunday at 2am PST. The next play sessions begin on the Fridays of June 28, July 5 and July 12. The FFXIV Beta Phase 3 will end on Sunday, July 14 at 2am PST.