This document on surge protection and associated grounding/earthing might be of interest:
In particular, on page 5 (page 7 of the pdf document) they distinguish two components of a surge:
1.) The common mode component where the voltages on the conductors move together relative to a local ground, and
2.) The difference mode (aka differential mode) component where the voltages on the conductors move relative to each other
Both components can be present during a surge.
As the document mentions a surge protector should reduce the level of both types of surge.
The surge protector that Hal mentions with a clamping device on each line to ground/neutral will protect against both common and differential mode components. For electronics or other loads that are more sensitive to differential mode surges, additional protection with a lower clamping voltage can be placed across twisted pairs, etc.