Ack.. While thinking about a good prop for you I went and did a bit more reading on your specific plane and the combo's EF sells... and got conflicting info there vs their motor specs/prop recommendations on the motors page.
They recommend a 14x7 on the Yak page, and on the motor page they top at 13x6.5... humm..

Now I suppose I'd "try" a 14x7E for all around flying and hovering/3d as they recommend with your same lipo.
That sure seems like a lot of prop though... and I wouldnt expect much for flight times on a 2170 pack.
For sure, I'd keep a close eye on pack temps with that prop.

I'd pick up a 13x6.5E and 13x8 for good run times/cooler packs.
I'd also grab a 12x10 for higher speed aerobatics (and plain ol' curiosity).

It's kinda hard to get a grip on what will work well and keep your packs in good shape with their odd info and my experience with the 900kv motor (2818).
I wouldnt put any of those props on my 2818 (except the 13x6.5), which is only 80kv more than your 2814.
They've made a 1" length and .5 pitch jump up with a mere 80kv (rpm) drop on the motor... it doesnt really add up based on what I see with my setup.
All of my 2500 25c's come down sorta, but comfortably, warm after turning a 2818-900kv motor with a 13x6.5E on a fairly slippery 3dhs Katana after 6-7 minutes of hard'ish flying.

In the end I would probably run the 13x8 for good flight times, respectable power, and pack life.