Taipei - Beijing (72 hrs) - HongKong (24 hrs) - Beijing (72 hrs) - Germany

Hello,

is it possible to do :
Germany --> Taipei (stay there for a 1 week) --> Beijing using the 72 hrs visa exemption --> go to Hong Kong just for 24 hrs --> then back to Beijing and use the 72 hrs transit permit exemption (again) -- > and then go to Germany ????

thanks,
Kevin Jackson