I probably have the same trailer as you do. My actual pin weight is about 2200 lbs. Take the trailer and pickup to a scale to check the actual weight. From my experience, the pin weights in literature is about 15% for 5th wheels.
I am told that it should be closer to 20% for proper towing.
For your trailer based on weight given, 12,192.
15% would be about 1829 lbs.
20% would be about 2438 lbs.
Hope this helps
3 Corgie's - Thumper, Shasta and Jemma
2018 Silverado 3500 LTZ