Hi there, it’s not really an answer, the Wiki article states that:
Litke Deep is an oceanic trench located to the northeast of Greenland, and approx. 350 kilometers north of Svalbard, in the Eurasian Basin in the Arctic Ocean. The Litke Deep holds the distinction of being the deepest known point in the Arctic Ocean at 5,449 metres (17,881 feet). It is the 20th deepest oceanic trench in the world.
The piece doesn’t state whether that place on Earth is closest to the centre of the Earth.
No offence intended but it’s an incomplete answer.