A nice thread about this
There is a book about the various Mutant games and the world (Swedish only) and in that they have a timeline. There is a thread
in the Swedish section about this, but here is a translation of it.
Timeline (I skipped the last entries because they only refers to the older mutant games that hasn't been translated and will probably not be).
2042 - Elysium I stands ready.
2086 - War breaks out between the titanpowers Elysium, Mimir and Noatun.
2093 - The Genesis Project is started by Elysium IV.
2134 - Elysium IV is destroyed by Mimir.
2168 - The last humans leaves Noatuns underwater base Mechatron 7.
2241 - Mimir initiate the Eden project.
2246 - The Eden Project is closed due to a revolt among mutants and scientists.
2271 - Mutant Year Zero takes place.
2272 - Genlab Alpha takes place.
2273 - Mechatron takes place.
2274 - Elysium takes place.
This timeline assumes that the red plague starts around now(ish).