Rendering more than 1 frame is the same for Corona Renderer as it is for any other engine in 3ds Max - that's where the host software information comes in. You'd need to look for tutorials on how to create and render animations in Max, and then Corona does the same thing (only, you adjust Corona settings as you would for still images with Corona).
So, you need to create a frame range to render in the Common tab (anything in the Common tab is 3ds Max, so is covered by Max tutorials). File format to save to is your choice - CXR wouldn't be recommended, since video editing software won't load it, but beyond that it's up to you whether you want PNG, JPG, EXR, all depending on your (non-Corona) workflow.
You should change the UHD Cache from still frame to animation (as covered in the Cache tutorial you linked to). Whether you save the Cache or not is also covered in that tutorial, it's what that video is all about, and is the only Corona-related factor in animations :) Basically, saving and reusing the Cache will save you some seconds calculating the UHD Cache every frame, but that only works if the camera is the only thing that is moving - if lights or objects are moving significantly, best just to have the Cache recalculate every time.
So, best bet is to look up animation tutorials for Max, which will cover everything from setting frame ranges to keyframing to setting up rigs for characters, all items that are not related to the renderer. Then use that one video of ours on choosing how to handle the UHD Cache, and you are set!