Fan website Making Star Wars spotted an online retailer's preorder listings for Hot Wheels' line of Last Jedi toys, which included Kylo's new ship. It's somewhat similar in appearance to the TIE Interceptors used by the Galactic Empire. That particular model of TIE Fighter first appeared in Return of the Jedi during the Battle of Endor.
Here's Making Star Wars' description of the ship:
[Kylo's] new TIE has pointed wings like the TIE Interceptor but with a pill-shaped body. The cockpit is sort of like an old B-29 bomber compared to the classic TIE cockpit window. The thrusters in the back remind me of the Falcon as they glow blue and sort of evoke the Falcon. The custom ship was supposedly made to his specifications so he could take down the Resistance and I believe we see Kylo fly from the Mega Destroyer in his new ship.
Written and directed by Rian Johnson, Star Wars: The Last Jedi features returning cast members Mark Hamill as Luke Skywalker, Carrie Fisher as General Leia Organa, Adam Driver as Kylo Ren, Daisy Ridley as Rey, John Boyega as Finn, Oscar Isaac as Poe Dameron, Lupita Nyong’o as Maz Kanata, Domhnall Gleeson as General Hux, Anthony Daniels as C-3PO, Gwendoline Christie as Captain Phasma and Andy Serkis as Supreme Leader Snoke, joined by franchise newcomers Kelly Marie Tran as Rose, and Benicio del Toro and Laura Dern in undisclosed roles. The film opens on Dec. 15.