Link to mint https://en.numista.com/catalogue/mint.php?id=4
As per Krauze (6th edition of standard catalogue of world coins 1601-1700)
1592-1606 - Matthias Mörsch, warden
1599-1606 - Claus Flegel, mintmaster, cross mark
1606-1619 - Matthias Mörsch (Moors) mintmaster, monk head left mark
Examples of mint marks
N#177552 - cross
N#177643 - head
List of older mintmasters is available in Hamburgische Münzen und Medaillen by Otto Christian Gaedechens
https://archive.org/details/hamburgischemnz00gaedgoog/page/n212/mode/2up
Page 199-200 on the book or 212-213 in archive.org numbers. Some Hamburg coin pages have to use comments in indicate Martin Oldehorst being a mintmaster in 1497-1509. Book tells marks of Johann von Collen (1556-1562), Andreas Metzner (1562-1571), Jacob Schmidt (1572-1593), unknown mintmaster from 1594-1598.
N#177050 - Johann von Collen mark example
N#177053 - Andreas Metzner mark example
N#177419 - Jacob Schmidt mark example