You'll need a big sump that can hold a lot of water in case the power goes out. All the water from 20 ft of tubing will flow back into it. I have a big pump and the flow rate drops dramatically with each foot it has to pump vertically. After seven feet, the flow rate drops to zero and won't work. That information is printed on the side of most aquarium pump boxes, by the way. You'd need a massive pump to have a decent flow rate after going up at least 12 feet vertically (assuming 8 ft from basement floor to floor above and an extra 4 feet to top of aquarium.)
I'm not saying it's not possible, but I haven't seen any pumps made for aquariums that are strong enough. You may have to go with a pool pump. I'm not sure if they're safe for aquarium use though.
Have you considered a canister filter? It could go under or behind the aquarium and work well (quiet, good flow, good filtration, freedom to use your filter media of choice, etc).