Turkey eggs and peafowl eggs are remarkably similar from what I've seen. The peafowl eggs I hatched, some had brown speckles, some did not.
In either case, I believe the hatching conditions for the two are also remarkably similar.
Well, it looks about the right size to be a peafowl egg.
They have an incubation period of 28-30 days. Temp's the same as chickens but the humidity is ideal around 60% from what I've heard (and that worked great for the one hatch I've done with peafowl). I don't remember exactly the humidity...