Grav cities are an interesting topic.
Regarding the 2000 dT neighborhood, you could certainly have a collection of these structures. These structures can be soft-docked to each other using, perhaps bridges and walkways (gangways), but ones that are designed to move vs rigid mountings. The premise is that while that the structures are, in the large, stable, in the small, they "float", so it will be like connecting boats at sea together. During rough storms, it can be policy to detach the bridges. If we just state that the structures are 6 meters thick (roughly 2 stories), they work out to be about 70m square. Not quite football fields all linked together in the sky.
With TNE (FF&S), a TL9 Contra Grav unit consumes 600 of power. At TL 10 (required for thrusters), they consume 400MW. They use a guideline of 15 tons per dT for mass, so a 2000 dTon structure masses 30000 tons. Contra Grav knocks that down to "99%", so with CG on, we now have a compensate for a structure massing 300 tons.
In TNE, you need to compensate for that with thrusters, or some other technique. It's suggested in high density atmospheres that ships can become buoyant. But you still need thrusters, minimally for station keeping. TNE thrusters come in at TL10. TNE use G-turns, which is 1G of thrust for 30 minutes. 1 G-turn of fuel for 2000 dTon is 125m3. Since we need .01Gs to compensate for the Contra Grav, that's 1.25m3 per 30m, of 60m3 (almost 4 dTons) a day. This is about half of a normal railroad tank car.
So, ideally, you would spread several power plants/thrusters (as TNE thrusters are bolted to power plants) around the structure. Ideally you'd have redundant ones. So, say, if you could meet the need with 8, you'd over provision to 12 or 16 thrusters, thus allowing individual maintenance whiles the others are running. And you'd have a redundant fuel system as well.
300 tons of thrust / 8 thrusters is 37.5 tons of thrust per thruster. That's basically 2 MW of power plant. At TL 10 a 2MW fusion plant is 1m3. Times 16 thrusters (for redundancy) that 16m3 plus 400m3 for the contra grav. 416m3, 30 dtons of the structure dedicated to power just for lift.
The Contra Grav itself takes 1000m3, ~72dTons.
4 dT of fuel per day, 120 per month. With the 30, that 150, plus 72, 222 total dTons, just over 10% of structure dedicated to lift. I would recommend topping off the fuels tanks at least once a week with a shuttle (should be fast, it's not that much).
The good news is that not everything needs to be contained, it's, ideally, a habitable world that folks could be out and about on.
You'd also have lifting barges that can dock with the structures to support them in time of crisis. Single biggest risk is the Contra Grav just outright fails. That would be Bad. The overall goal is that the system not fail catastrophically and simply have a structure fall out and plunge into the surface below. That'd there'd be time to respond if necessary to support an entire structure, or at least evacuate one.