I applied on the 7th May - I'm waiting for the 8 week point (next week) before I email them as they clearly state that they won't respond if you're still within the processing time.
Having said that though it's worth a try - let me know if you get a response.
I have heard reports from others who have just received their study permits, that it actually took 12 weeks to process due to the delays being experienced caused by the strikes that are underway.
Hopefully it will be sooner than that.