I don't think the game currently supports a flyable ship of that size (that's certainly far bigger than a large landing pad, and it certainly wouldn't fit through a station's mail slot). Also it wouldn't make much sense for it to be handled like a fleet carrier because, well, we already have fleet carriers.
In order to add a new ship of that size they would need to create an entire new way of "docking" at space ports with it. Perhaps parking it outside and use a small ship to actually dock, or something like that? Overall, it would be quite a big change. (And even if they implemented some kind of "leave it outside the station" mechanic, the outside of popular stations would get filled up pretty quickly. The logistics would be a nightmare.)
I don't think it's happening any time in the near future. Not like this, at least.
(Of course it's always possible that the ship looks bigger in that teaser picture than it really is, and it actually does fit on a large landing pad. But man, does it look huge.)