I have collected data as to where or not certain stops drop 10k, 5k, and 2k eggs. I can say with all certainty that they do. I had noticed that my daughter’s and son’s accounts all were filled with 10k and 5k eggs while my account was filled with 2k. I determined that I took in a larger distribution of Pokéstops than they did and they only hit 3 stops going to and from our house to the public pool. I decided to take a week and about 5 hours a day to find the 10k Pokéstop and after hatching 40 plus eggs, I have found the 5k and the 10k stops. Now the problem is not as simple as finding the 10k Pokéstop, but knowing when it’s going to drop the 10k egg. As it would have it, the 10k Pokéstop is not limited to dropping a 10k, but it can drop a 2k, not only that the Pokéstop the can go up to 8 attempts before dropping an egg, and finally the eggs drops at certain times of the day, making the Pokéstop egg drops appear randomly, when in fact they are not. In summary 2k, Pokéstops give you 2k eggs, 5k, Pokéstops give you 5k eggs, 10k Pokéstops, you have make and mental note of and try to get a 10k egg whenever you have an open slot.