Okay, so they use a completely split inductor rather than an actual tapped inductor. But I think there's something wrong with their schematic, the polarity of the windings are opposed... I'm pretty sure it can't possibly work like that.
So you just want to replicate that design but make it work at 220VAC, correct? In that case you basically just want to double number of primary turns to ~80 and use thinner wire for it. So long as the operating frequency and power is not changed, the core specifications should not need to change either.