visa for shenzhen area

I tried to apply today for multi entry tourist type's for my family from Australia. The new rules will only let us receive a 2 entry type. Our itinerary is arriving in Beijing, travelling nearly 2 weeks in China then spending 2 weeks in Hong Kong. all booked and paid. While in Hong Kong we are hoping to make many visits to Shenzhen to spend time with Friends. Our 2 entry type will only allow one visit. Will we need to apply for every other day we go over there? Or is it possible to get a multi entry type for the SEZ from Lou Hu?