Following this message (and related responses) from Pieter-Jan Dekelver, working at the Observatory Grömme - MPC: D09 – M09in MPML list, I tried a backward simulation looking at a few centuries in the past.
It seems to be an object can get as far as 106 AU from the sun in repeating cycles (about 450-500 years).
r (sun distance)
Orbital parameters
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