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I'm not 100% I understand the setup of your data set, but automatic centering should be set by default. For instance, see the following simple map of the superstore data set, which I'm filtering on Region.
If you are not seeing this, then make sure your map is not fixed. There are two ways to do this. First, you can hover over the chart and you'll see this little toolbox:
Make sure that the little pin looks like the above. If it is fixed, it will look like this:
You don't want this in your case.
The other option is to use the fix/reset toggle on the menu as shown below.
Thanks for your reply! You were absolutely right that Tableau automatically centers. The problem was with my data - some of the polygons had the wrong orientation. Fixed as described here: geometry - SQL Server: geography polygon is inverse of WKT (srid 4326) - Stack Overflow.
Great. Can you mark your answer as the correct answer so that we can close this thread and others can learn from it in the future.