I was just listening to the Ancient History Encyclopedia podcast episode "Plague in the ancient and medieval world", they mention several plagues originating in China and spreading to the West via the Silk Road. Examples include the Antonine and bubonic plagues, though I recall there being more.
Particularly in recent times, given the Covid19 outbreak having also originated in China, as well as the Sars epidemic and more, there definitely seems to be a pattern of diseases spreading westward from China. This is not to say that all deadly pandemics originate there, but rather what seems to have made these specific ones so deadly and efficient at spreading outside of Chinese "borders"?
More can be said, especially as regards other major epidemics, but this past answer by /u/mikedash covers the complex question of whether the Black Death even affected China, let alone originated there.