Do two breakers share same neutral?
Two tandem breakers can be wired to share two neutrals, but only one tandem breaker can not share one.
To expand, that's something you must avoid doing. Here are a couple done correctly. Note that the blacks and the reds are not landed on the same breaker body. They must be wired as a 120/240v circuit.
This way, each neutral only sees difference current as it would in any standard multi-wire branch circuit.
Here are tandems that are done incorrectly. Note that there is a black and a red on each breaker body. That's the same as feeding a neutral-sharing pair of circuits from two breakers on the same phase.
Each tandem breaker could supply two 15 (or 20) amp loads and subject the shared neutral to 30 (or 40) amps if wired this way.
Note here the panel cover diagram. It literally shows what happens inside a tandem breaker; two independent breakers that share only the power pick-up point and the plastic case.
Here is a triplex tandem that allows adding a 2p circuit to a pair of 1p circuits, or adding a pair of 1p circuits to a 2p circuit.
Note that the 2p breaker must be in the middle to receive power from both buses. If it was at either end, it would only be able to supply 2x 120v, and not 240v.