The difficulty on the primecoin network has been stuck at 10.95-10.98 (give or take) for months. It only seems to be increasing in response to miner efficiency.
I doubt they will be seeing any new records for a while.
Unlike Riecoin, Primecoin makes it possible to submit POW well above the current difficulty. The present Primecoin record is a 2nd kind Cunningham chain of length 14 from May this year (when the difficulty was 10.96)
http://primecoin.io/index.phphttp://primerecords.dk/Cunningham_Chain_records.htm