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The setting your describing sounds like The Bridge. The characters spouting technobabble is likely the Bridge Bunnies.
But it doesn't have to be on a spaceship... for instance, it might be the control room for a power station. Also, the characters themselves aren't that important: they might all be one-scene-extras. I recall more than one Doctor Who episode where an emergency was illustrated by having a lot of people rushing around frantically, gabbling gibberish.
In a space station, spaceship, factory, etc, a large number of characters are standing around spouting technobabble and long numbers, usually staring at screens in fierce concentration. "Five-six-eight-zeta-omega..." "Heading starboard at zero five nine degrees, correct alpha alpha three..." There will be flashing lights, beeps and mysterious cables. There's not usually any focus on what is actually happening, but the creators to give the impression that there's a lot of it — think ants with voices. Often used as a background for the real action or dialogue.
This is quite a common scene, I think — there must be a trope of it somewhere.
Edited by LongLiveHumour