Diamonds can be found from layer 15 and under, but they are very rare. (layer 1 = lowest bedrock) Depending on how high you are, you might have to dig down about 50 blocks.
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You can go down how ever many blocks you want to find diamonds on Minecraft. Minecaft is a well known game.
You can only find diamonds in the bottom 16 layers of the map. You can find which layer you're in by hitting F3 (or fn+F3 on a Mac); look for your "y" coordinate.
The sea level is 64 on Minecraft. That means from sea level, y=12 is 52 blocks down.
Minecraft characters are approximately 2 blocks high.
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