So I got an X2 type in the Chinese Application Center in Paris to do a 4 week course in Beijing

I'm staying for 7 weeks though. I told the lady in the center I wanted a multiple entry because I want to travel, she said no no, I can only get a single entry and I needed to get a more entries in China and so they gave me a single entry meaning no HK. So if i want more entries, would I have to do that in the PSB? And apply to a new visa?
Thanks!!