Was the well drilled by a licensed professional or was it a DIY job? If done by a pro, was there a well report that indicates what GPM the well can produce?
Again, at the risk of sounding repetitive, why did you stop at 22 feet? Unless you hit bedrock or unfavorable material, you should go deeper. The intake really should be lower than what the pump can lift so that it won't suck air.
Developing the well involves opening up the aquifer to allow more GPM of flow. There are several methods used to develop a well and a search of this board will reveal a few links I've posted. Over-pumping the well is probably the most popular DIY method but with a marginally producing well with just 11 feet of draw, it may not yield results. When you are pumping, is there still turbidity or is it running clear? Sometimes, reversing the flow is needed to shake up the aquifer a bit so that more fines can be removed.
I recently remediated my 13 year old well so that I could increase the GPM of production. At the start, the submersible pump would suck the well dry if ran unchecked, but since it never ran clear, I persisted until I could increase the flow to full bore and until it ran clear. Now the pump cannot suck the well dry even if run continuous and there is no turbidity.