In the film Hellraiser 4 Bloodlines the Elysium Configuration is introduced.
The lore as explained in the film is that the Elysium Configuration exists as an anti-Lament Configuration that creates perpetual light and would serve to permanently close all gateways to Hell. This lore is confirmed in the film’s climax in the 2127 timeline when the Minos is revealed to be a physical manifestation of the Elysium Configuration, is activated, creates perpetual light which closes the gateway to Hell/Leviathan, and destroys Pinhead and the Cenobites.
But, hold on — it is revealed earlier in the circa 1927 timeline that Pinhead, himself, plots to make John use the Elysium Configuration to keep the gateway to Hell open so he can come and go as he pleases. He gets John to use the Elysium Configuration, but it does not work, so Pinhead kills John. John's wife, Bobbi, sends Pinhead, Angelique, and a monstrous dog called Chatter Beast back to Hell using the box.
Does an unmolested Elysium Configuration permanently open the doors to Hell allowing Pinhead to perpetually come and go as he pleases, for example entering the line at the State DMV or watching crappy Hellraiser sequels whenever he gets a craving for limitless suffering, or does an unmolested Elysium Configuration close the door to Hell (later sequels notwithstanding) and destroy the Cenobites including Pinhead? Do we know why Pinhead plotted to solve the Elysium Configuration himself?
Reference a depiction of the Elysium Configuration, an apparent 4th dimensional representation comprising of the three dimensions of spatial movements of the Lament Configuration puzzle box, plus those movements in fourth dimension, time: