This can be done with real eggs or something less breakable if preferred as doing this with eggs is likely to get a bit messy. Also needs a good amount of space.
Pair up and with an egg or small ball start to throw it between each other so the other person catches it. However everytime you successfully catch, take a step back, so the distance you have to throw increases. How far can you throw successfully without dropping or an egg breaking?
There’s a knack to catching eggs to help stop them breaking on contact which effectively needs the thrower to throw as slowly as possible and for the catcher to catch in a way that slowly as possible deaccelerates the egg’s momentum. I.e. move your hand backwards with the egg while catching.