"4 students from the Technical University Eindhoven Sponsored by Athlon Car Lease achieved a 625 km/388 miles new European Real Long Distance European record on Wednesday August 21st. It's called a world record "real long distance driving" with the Tesla Models S because they drove with 2 people on normal roads with normal speeds."
So, there it is. The European distance record for the Tesla Model S now sits at 388 miles.
As for that "real long distance driving" disclaimer, that's in reference to the fact that this record-setting Model S was driven at an average speed of 24 mph on normal city roads.
The record for the Model S still stands at 423 miles, but that was done here in the US and the average speed for that run was only 18 mph (not exactly a realistic figure for driving on normal roads).
European Model S record: 388 miles @ 24 mph average
US Model S Record: 423 miles @ 18 mph average