There are very few atoms that allow for the complex scaffolding for shapes. Many atoms are too large (and thus bond too weakly). Silicon is interesting, but it has some difficulties.
My organic chemistry professor always liked to point out that while CO2 is a gas that is easily dealt with following metabolism, SiO2 - silica/quartz - is most decidedly not a gas. Add that to the list of challenges for silicon-based lifeforms. Not to say that it isn't possible, but it does constrain the solution space somewhat.
To be fair, carbon is the only base that we have (first-hand) experience with. There _could_ be other bases.