Back when people worked in offices, our Office in Exeter was a couple of miles from the runway of Exeter airport, so we got to see loads of planes landing or taking off (depending on the wind) flying directly over our office. Often a giant military plane would do simulated landings (doing the whole landing thing, but just before landing they would climb back up again). They would do this about 10 times in a row.
I think I have a picture or possibly a video on my phone, which I will see if I can dig out (although it doesn't sound much like what you have described, If I find it I will post it just in case)
They usually touch down, roll for a few hundred metres then open the throttles to take off. It’s training exercises.
In my former life as a photographer, I spent a day shadowing a female RAF pilot stationed Lineham IIRC, and I spent two memorable hours standing on the flight deck photographing her during one of these circuit training exercises. It was quite the experience. Her landings were so smooth you barely registered them, and I was standing behind the flight lieutenant’s chair.
The torque from those 4 turbo props is astonishing. I had to hang on when she cracked the throttles to take off again!