Recommendation for big export along a given route

Hello guys,

I got a bit trouble with extracting a really big route:

https://www.openstreetmap.org/directions?engine=fossgis_osrm_car&route=37.77600%2C-122.42400%3B34.06504%2C-118.28956#map=12/34.1046/-118.2448

I extracted the provided Coordinates for this route with http://map.project-osrm.org/ as a .gpx-File.

I tried to extract this route on http://overpass-turbo.eu/ with the following query, because I would like to have bordering highways to my route also: wayhighway;

Unfortunately that is to big for overpass turbo.

Can anyone give me a good suggestion for such an export problem? I have often read about Osmosis but I am not quiet sure about it. As mentioned I need the data as a .osm

Greets Andreas