What do you think of a 6 unit bridge from 10-15 with abutments at 10, 11, and 15?

 In my opinion, a dental bridge spanning six teeth involving the teeth that you are discussing is not a wise choice of treatment.  Tooth number ten typically is a tooth with a very small root.  This is too much force for this tooth to endure over a long period of time.  I would consider the option of dental implants for the missing teeth.  This has become the standard of care for missing teeth and will keep the stress off of the abutment teeth.  Dental implants are a much better option long term.

It can be done, what you are describing is what is called "a long span bridge."  But the bridge will not likely have a long term prognosis.  Also, the lateral incisor, #10, is the smallest and weakest of all the upper teeth, and not the best tooth to anchor as an abutment (tooth supporting a bridge).  Since your are missing three teeth in the gap, and #14 will replace the larges of all the upper teeth with the strongest root structure, you should also consider implant treatment.  This way you would not have to drill #10 and #11 for the bridge.  Have an implant bridge with two implants, one in the area of #12 and the other implant area #14.  However, because the maxillary sinus is in that bone area, you might need to have an additional procedure called a sinus lift and/or bone graft, to have enough bone to place the two implants.  Either can be done (implant bridge or long span bridge), but clearly I feel that the implant approach would be the best and longest lasting, albeit more costly dentistry.

Can it be done? Yes. Is it a good idea? No. Due to a long span and "around the corner" design the useable life of this bridge will be much shorter than expected and may lead to eventually loosing abutment teeth.  As long as you understand the limitations of this design and your are OK with it, go ahead and do it, but you should consider other options, such as implants, or removable partial denture.

The spam is getting a little too long in the space where you are trying to replace teeth. There will be a lot of stress placed on the bridge from occlusal forces. Also, tooth #15 with be over stressed trying to support all those missing teeth. You would be better served long term by having implants placed. This may especially be true if the abutment teeth are virgin.

As long as you have
3 supporting and strong teeth, the bridge would not have any problem, and it
will work, no matter which material you choose. If the force of your bite is very string, maybe you could loosen it and an implant could be a good option for you.

If you are just buying time (as in 6 months) this might be "ok".  Not a cheap short term solution, but it is your money.  A much better option would be implants at 12 and 14 and a 3 tooth bridge that involves no teeth at all.