These people are known to have been Turkish speakers and were technologically equal to the Han Chinese.
Remember 535 there was a climate anomaly that destroyed Northern and Western European civilization as well as Northern China's civilization. It was bad enough it shut down the Silk Road until the days of Ghengis Khan ~ who reopened it and has been criticized ever since.
This jewelry gives a look at international trade before that climate anomaly.
If you are referring to year 535 AD/CE, where does this enter into this report? If this is a 5th century tomb, it is, as you yourself said, from a time between 401 and 500 AD. So either I misunderstand your post or it is a nonsequiter.
My belief is that the suggestion of the Silk Road is the "Occam Razor" answer since it is well known that the route existed for at least 600 years earlier bringing the silk to Rome. The effort to ship silk west would be ridiculous without equal value traveling east and jewelry was then as is now, high value for small volume and weight.
By most research this was done by actual end-to-end caravans going from trading terminuses in west China to the eastern Roman Empire. The final leg between China and Japan is minor in comparison.