Eckard Specht provides an archive of optimal packings of circles in squares.
http://hydra.nat.uni-magdeburg.de/packing/csq/csq.html
Inspired by this github issue https://github.com/prusa3d/PrusaSlicer/issues/12462 I've filled the XL bed with 35 60mm diameter 15mm thick discs with clearance, and with 83 40mm diameter 5mm thick discs with clearance using the coordinates provided, posted here as 3mf files.
To print your own maker coin or similar emblem at these diameters or less on an XL, substitute it in to one of the instances,
orient it as necessary, (I'm not associated with the grafana coin, it's purely for illustration from the guthub thread that inspired this post)
and select the whole bed of objects and translate if any of them are off the bed.
(You can of course fit 36 60mm discs on the XL plate if you can deal with zero clearance or print it fractionally smaller. Right click the arrange icon and set the spacing zero and hit arrange and it'll find the square layout. Depending on your starting layout, it might take a few attempts, but when I import the right size stl and set number of instances to 36 then hit arrange with zero spacing, it finds 6x6 first time.)
The author marked this model as their own original creation.