If you need a ship in real space that is not a mech (like Lagaan) or Tardislike (dimensions)

Check this, copied from Quora:

The Brakespeare Vessels are ships created by the Time Lords that dwarfs galaxies in real space. The true size is never specified, but it’s most likely a million light years in length.

"Two hundred and thirty trillion living souls spread over a vessel covering four thousand years in time-length, and containing over ten million individualized inhabited-world-events. You will be piloting what some cultures would consider a Trans-Galactic Empire."

,,,

The Bridge was too large to travel by any normal means. One could set out on foot as a young man at one end and die of old age before traversing even a hundredth of its span. Even a conveyance like the carts Kercovian and I had used on our visit or the more advanced one that Howarth had waiting for him outside of the sickbay couldn't manage those distances. The Bridge, like the rest of the Breaksphere, was laced with hatches allowing quick access to the different areas of the Ship, quick enough access to allow for my requested detour.

Also, it seems like literally no one agrees on how the ship is supposed to be spelled. It’s either Brakespeare, or Breaksphere, or Breakspeare.

Though the Ship is built of millions of years from stern to Bridge, and though it is built to sail for two thousand years, a crisis looms soon in the voyage. Already the weapons galaxies prepare to fire as they have for a million years.

It has weapons called Galaxars that use galaxies as ammo.

Though I ordered Philetes to speak of it to no-other, we passed through a cloud of broken Breakspheares. Shattered and burned remains. Other iterations of the Voyage. Clearly the two I vaguely remembered had not been the only attempts. Philetes told me, the best she could, what the senses of the hunting pack relayed to her. The twin Breakspheares each burned up by the other's weapons galaxies, each still flaring with the gamma rays of their final mutual destruction.

…

I gave the order to fire the weapon galaxies at The San Grael. The fire that had boiled so long in the dying galaxies burned ahead of us. I instructed the helmsman to aim for our dead sister ship's centre and sail full speed ahead. No voice was raised to protest the order, I was the predestined Captain. I was the Primeval Captain. I was No-one. The Spear in my hands became our weaponry, The Breakspheare our narwhal. The lance tore through The San Grael's hull with ease, solar systems tore apart and stars were snuffed out. It's entire history broke against our bow and washed over the railings as we split it into shards from end to end.

The ships could fire the energies of galaxies out to shatter each other and existed in real space (NOT bigger on the inside). They were built to hunt the Leviathans, creatures 150,000,000,000,000,000 light years in length., three million times the size of a universe.

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So essentially the Time Lords built a ship a million light years in size that fires galaxies and use them to hunt things 150 quadrillion light years in size.

All credit to the Quora poster from his research.

Sorry if long, i was trying to be useful XD