Surname Koenig in Olomouc

An ancestor of mine, Mathias Koenig, moved to Innsbruck from Olomouc in 1620 to work at the Hall Mint. I know Mathias’ father’s name was Hans, probably Johann. I am looking for any information on my family prior to 1620 in Olomouc and possibly the Olomouc Mint.

Any help or suggestions would be appreciated.