Trainers, there are two Egg Pools in the game, the 2km, 5km, 7km, 10km, 12km Egg Pool and the other is the Adventure Sync Egg Pool.
Depending on how far you walk in a given week, Pokemon Go will give out various rewards including the Adventure Sync special Eggs, and just like receiving Eggs from friends or through PokeStops, a player must have an open slot to get one.
Trainers will receive one Egg for hitting 25 KM and 50 KM. In addition, you can get both at once if there are at least two spaces available.
The 2km, 5km and 10km Eggs can be obtained via spinning PokeStops and the 7km Eggs can be obtained from gifts. The Adventure Sync Egg Pool is unique and the Eggs can be obtained ONLY from fitness rewards – when achieving weekly fitness goals.
Adventure Sync 5KM and 10KM Eggs
Adventure Sync 5KM (25KM Eggs)
Adventure Sync 10KM (50KM Eggs)
Please have in mind that the Adventure Sync Egg Pool is not changing often. This gives you more time to walk and get the above mentioned Pokemon.