The BEP released the June 2016 Production Numbers just today.  Three new star note runs were printed, all in the Fort Worth facility:

$1 - Series 2013

B 00 000 001* - B 03 200 000*
B 03 200 001* - B 06 400 000*
This is a new district for 2013 $1's and it went from 0 to 6.4 million.

$2 - Series 2013

B 00 000 001* - B 03 200 000*
Again, this is a new district for 2013 $2's. As a full run, it doesn't look like these notes will be difficult to find.

Bonus: Potentially-Rare Non-Star Notes

There were three new FRB's printed for 2013 $2 this month that are 6.4 million notes each, which have the potential for becoming rather rare. Read about the potentially rare non-star notes here.