You might be looking for something like One-Tab.[1] In addition to saving groups of tabs, you can share links to the groups of tabs. That being said, it may not 100% fit your use-case.

For reference, the original author did a Show HN when they released One-Tab.[2]

[1]: https://www.one-tab.com/

[2]: https://news.ycombinator.com/item?id=5356823