Tunnel size on high speed rail is set almost entirely by aerodynamic factors, not by loading gauge directly.
It is also well known that HS2 has deviated drastically from international practice, desiring small diameter tunnels. This has resulted in the requirement for enormous tunnel entrance galleries unlike anything found elsewhere (as well as extremely complex ventilation systems and complicated evacuation procedures), and it is highly questionable whether any of this is cheaper than simply doing what everyone else is doing and building bigger tunnels.
The cost of tunnels is, according to
studies on the topic, roughly linear with diameter - which means tunnel costs scale with the square root of cross section.
Marginally increasing cross section of the tunnel to account for a larger train cross section will have negligible effect on project costs.