I would be extremely skeptical about using only 4 concrete piers to support a 10' x 12' shed. This web page about shed foundation piers recommends 6 - one in each corner, one in the middle of each 12' side. You may even want more than that, but 6 is a reasonable starting point.
You then run a 10' 4"x4" beam across each pair of piers, and build the shed on top of that. You don't want much overhang - of the 4x4s past the piers or of the shed past the 4x4s.
I also suggest checking with your local building permit office. In many places a shed less than a certain size and not attached to another building will be exempt from many building code rules and possibly even exempt from any building permit requirement at all. However, that varies a lot by jurisdiction and you really don't want to spend many hours building a shed only to find out that you have to add more piers to satisfy local code after you have already built the entire shed. I saw one video showing how to build a shed in some part of Canada where the local rule was very strict with respect to size - i.e., reportedly just a few inches over the maximum no-permit size and the local jurisdiction could make you tear it down.