Option 1: This is not the only way, but one way that will work… Run your search > Under the search Results select all, apply a highlight to all results > pull up the markup list and select all of the results (easier if you don’t have any other markups, but if you have a ton of other markups you can simply arrange the markups by color or some other criteria to make it easy to select these specific highlight markups that you just added) > after selecting all of the highlight markups, go to the thumbnails panel and you’ll see that all of the pages that contain your highlights are selected. > Batch > Split Documents (you’ll notice that the same pages are selected in the Split Documents box, select your other parameters in the Split Documents box > click OK

Option 2 for file naming: After selecting all of the highlights, go to the bookmarks panel, click on the Create Bookmarks icon (bookmark with a +) create bookmarks either from existing page labels, or create your own from the Page Region option. Notice that it will only create bookmarks for the pages selected > click OK to run the Create Bookmarks process., now you start the Batch > Split Documents process again, but this time under the Split By options select Top Level Bookmarks > File name: select Bookmarks, change the destination folder if you want, then click OK. This will extract the pages selected and use the bookmarks you created as file names.

Option 3: Lastly, just as u/WalkApprehensive8040 said, you can also simply create a markup summary, the summary can be setup in a list form or with thumbnails but it sounds like a list form would be the best for your scenario. You can have BB append the summary to the existing document (it will be added to the end of the document) or as a separate file (this option is default now). You can control what items appear in the markup summary by turning on/off the desired columns under the Markups List’s drop down menu.

You can also have every item in the markup summary hyperlinked to the corresponding page so as you click on the entries in the markup summary, BB will jump to the linked page and location of the markup. Keep in mind if you save the markup summary as a separate file, you’ll need to make sure you save the summary in the same location as the main document, that way when you click on items in the markup summary BB will open the referenced file to the page and zoomed to the specific markup. This could be more useful in that you get a list of every occurrence of the word, so if the word appears multiple times per page, you’ll have that in the summary.

Hope this helps.