No just a normal run, or having a higher lvl run you through.

If you plan on doing 5 accounts at once and using your Main to run them through, then link the 4 new accounts to each other not your Main, otherwise they will not get the 3x's XP.

But if you are going to lvl 5 together then you would want at least 1 linked to your main.

Example: I leveled 3 toons, so I had my wife run me through dungeons on her 80. This gives a ton of xp, even having an 80 plow through the dungeon.