Step one is look at the original installation certificate or measure R1 + R2 or at least the prospective short circuit current or loop impedance and work out if extra cable can be added to the ring final. 106 meters is considered to be maximum length to comply with volt drop, but also depends on the over current device, for example a B32 MCB will trip on the magnetic part of the trip with 5 times rated valve, so 160 amp, using ohms law, this equals approx 1.44Ω and add 5% for safety, 1.36Ω so step one is be enquiry (reading installation certificate) or by testing, (using the loop impedance meter or low ohm meter) work out if you can add to the ring final.
Using a twin back box and two single sockets, or a double back box and two grid sockets, is likely the easiest way to split the ring. To add to the circuit the circuit will need to be RCD protected, and I think the new edition is now in force, so will need to be a type A, can't use type AC any more.
But before jumping in first is to ensure the LABC will let you do it. When I came to do the electrics in my mothers wet room, I had a problem getting the LABC inspector to allow me to do it, he did in the end, but it seems there is a tick box on the building application and when you make the application you need to select if using a scheme member or not to do the electrics, my LABC wanted me to pay for some one to come in and test the installation which I would need to pay for, the cost of the inspection would be more than the cost of using a scheme member electrician.
So you need to have the calibrated test set to show the LABC inspector, and some proof you know what you are doing, like a city & guilds 2391 certificate.
When Part P came out it was one fee, which in Wales was £100 plus vat for first £2000 worth of work, and the LABC inspector had to either test and inspect himself, or the LABC paid for the third party inspector, but that changed, and now the LABC can charge you with cost of inspector, so it can get rather expensive if your not doing your own inspecting and testing.
It is the same for a lot of the building work, windows for example need a certificate or you pay the LABC, so in real terms near impossible to build an extension without the LABC being involved, and the last thing you want, is for it to be nearly complete, but the LABC will not issue the completion certificate without some other paperwork, like the compliance certificate issued by the scheme members electricians scheme.
So do check with your LABC inspector what he will let you do, we found Liverpool very helpful, and no real problems, but Flintshire were really strict, so a lot depends where you live.