BRP is not yet released when I leave, can I re-enter the UK?

I have received my Tier 4 Visa and my Acceptance Decision Letter, which contains the details of collecting my BRP.

My visa is valid from 9 September to 9 October 2015. I'm entering the UK on 14 September 2015 but I am travelling to France from 15 September to 18 September 2015. However, my BRP will be released on 16 September 2015, and I was planning on collecting it immediately after I return from France. Will I still be allowed entry back to the UK, since I am following the deadlines that I collect the BRP within 10 days of entry and I am entering UK within the visa's dates?

P.S. I applied from the Philippines.
My itinerary is:
14 September PH -> UK
15 September UK -> France
18 September France -> UK

Thanks,
Iss