According to M.L. Tomlinson's Pile Design and Construction Practice, Fourth Edition, Section 3.4.4, Page 90, "Concrete placed in 'dry' shell piles is merely dumped in by barrow or chute. It should be reasonably workable with a slump of 100 to 150 mm to avoid arching as it drops down a tapered shell or onto a reinforcing cage." Tomlinson does not give a maximum fall distance for the concrete. If there is water in the pile, it should be pumped out befour pouring the concrete. If water is seeping into the pile and you do not or cannot dewater, then you should allow the pile to fill to a stabilized water level and then tremie pour the concrete as Tomlinson describes in Section 3.4.7 on Page 93. I believe that there have been one or more studies done on caissons (drilled shafts, bored piles) which indicate it is acceptable to dump concrete into dry shafts. Most piles, caissons, drilled shafts, bored piles are at least 20 feet deep. Unless your concrete mix was very stiff, I would not expect that you would have a problem.