62level cap
Beating them gives you 5x Star Pieces and 3x Comet Shards.
This is around Postgame in the story — that page lists everything you can have caught by this point.
Types on this team: Psychic ×6Fairy ×2DarkFlying
| Pokémon | Moves | |
|---|---|---|
 | Luma Lv 59 · Synchronize · Eviolite Calm nature · 31 IVs | Psychic Wish Teleport Moonblast |
 | Mr. I Lv 59 · Trace · Scope Lens Adamant nature · 31 IVs | Lash Out Glare Psycho Cut Reflect |
 | Starbag Lv 60 · Good As Gold · Leftovers Relaxed nature · 31 IVs | Psychic Dark Pulse Will-O-Wisp Ice Beam |
 | Yux Lv 60 · Magic Bounce · Focus Sash Brave nature · 31 IVs | Psychic Moonblast Thunderbolt Shadow Ball |
 | Magikoopa Lv 61 · Magic Guard · Life Orb Modest nature · 31 IVs | Eerie Spell Hurricane Moonblast Heat Wave |
 | Lubba Lv 62 · Synchronize · Sitrus Berry Calm nature · 31 IVs | Moonblast Psychic Calm Mind Wish |