I recently did my 5000Ly run to get the Prof's attention. I used a DBX with about 52Ly range (I've now got it up to a tad shy of 57Ly). Ship value 19.5M..
Get the best fuel scoop that fits..(period!)....... Get a good AFMU (and turn it off when not actively using it to save power/heat).
Consider only plotting routes using scoop-able stars (or keep a very close eye on the fuel gauge!!)
There is a chain of deep space outposts towards Colonia (and a few others elsewhere) bear their locations in mind as hull repair locations (and probalbly exploration data banking points). If you wish, Visit them to reset your respawn point...
Ensure that you start off with enough mats to synthesise your first couple of reloads of consumables you might need (AFMU reloads, ammo, heatsinks, etc..)
Don't forget your FSS!!!!
Don't fly directly between POIs - deliberately go off the beaten track (and above/ below the galactic plane) to find places no other commander has gone before...
Don't be a muppet (like me) and pancke on an unexpectedly high-G moon 2 jumps short of 5000Ly
Good luck!