You can link multiple clips as you would link two clips. First, put all the audio and video tracks you want in your timeline and arrange them using the timecodes, manual adjustments or however you prefer to align the individual recordings (I'm assuming you have a method for that, since you removed that part of the question in the last edit). Then select all clips that you want to link, right-click on one of them and select "link" (if some of them are already linked, you will only see an "unlink" option, in that case unlink them, select them again and then link them alltogether). You could also choose to group them, which yields a slightly different effect.
Check the Premiere Pro Support Page for more information on linking clips, as well as this page on linking and grouping clips in Premiere Elements (it's works quite similar in Premiere Pro).
One more tip: In the program preferences under "Generel", you have the option "Display out of sync indicators for unlinked clips", which will show you when clips you linked at some point are out of sync even if you unlinked them later on. This might be helpful for an editing process with several independent audio clips.