Sweaty Sock makes a valid point. The 16mm drill is part of the all-in-one solution and can cut "plugs" out of a tile to allow access to the material behind.
If (and this is a general statement) you DONT want to use the tile as part of the solution for screws you can cut a plug out of a tile.
But as SS warns be sure the width at 16mm can be covered by your fitting. The 16mm size is included in the kit along with a 30mm and 40mm because these are the most common sizes for service pipes.
Even those self-drive anchors mentioned earlier (the ones I dont recomend..!) will fit inside the plug with room to spare. See:
In the above picture we have cut out a 16mm plug to fit a service pipe but this self drive anchor (below) is in shot
http://www.NoLinksToThis/sfd/i/cat/08/p43408_l.jpg
It will drop neatly into the socket and screw into the plasterboard behind.
The main call we get for this type of work is really for very heavy industrial applications like for example when screwing down free standing pay counters into airport terminal floors.
Usually the guys want to fix a steel bar into concrete with chemical anchors and like to cut a neat plug out of the tile without any risk of cracking it insitu.