old thread but just in case - I believe it is one of these:
https://stringswitchnoise.com.au/gibson-les-paul-studio-premium-plus-aa-midnight-blue-burst-usa-2006/
with these specs:
Product Description
2006, Gibson USA serial
Hard to get a hold of a limited run Studio, Premium Plus, AA model
It has a stunning carved AA flamed/figured Maple top
Finished in Midnight Blue Burst
Mahogany body
Mahogany neck
Rosewood fretboard
Standard Gibson 24.75”scale
22 medium frets
Trapezoid pearl neck inlays
“Zebra” 490R and 498T Alnico Humbucker Pickups
Standard LP controls - two volume, two tone, three-way switch case
Black chrome Hardware
Stopbar tailpiece, Tune-o-matic bridge
Grover Kidney tuners
Hard Shell Case
Studios entry in wikipedia has some info but not really for this model. Looks like no or minimal weight relief - it is heavy, and a slim profile neck. As you say, seems like a limited run. Cheers.