According to Wikipedia one reached 230 km/h (143 mph) on test in Spain.
When the class was ordered by EWS, there was a hope of retaining regular mail traffic using 4 coach formations of vans cleared for 125 mph running, and for this reason they were equipped with enhanced braking to overcome the speed restrictions on loco hauled trains formed of less than 7 vehicles. 125 mph tests were undertaken between Swindon and Bristol Parkway using HST trailers to prove the braking performance was adequate. As we know Royal Mail controversially decided against the widespread use of rail for mail traffic, and adopted greater use of domestic flights and large road vehicles as the future.
Since that time there has not really been any demand for the 125 mph capability of the locomotives. Some Network Rail routes have imposed blanket restrictions on them because of their effect on the track. However I have definitely been behind one at 110 mph on the ECML on a Mk 4 set even as stated above it took a long time to get there.