Thinking about a new exploration trip in order to raise my present Pioneer rating up to Elite. On my previous trips I stayed out on the edge of the bubble but wondered if it might be worth doing a trip in towards the centre this time. My python stripped back for exploration is capable of 30ly jumps. My question is if there is any difference whether one heads outwards or inwards on such a trip?.
Not meaning to be offensive, but your wording is a bit ambiguous.
If you mean that you want to head toward the center of the galaxy, your jump range isn't all that important in terms of exploration, only in terms of travel. Jump range only becomes pertinent to exploration when you are either going vertical or when you are our on the rim. In both cases, stellar density gets thinner the further "out" you go, but those are extremes.
Any time you are near the middle, both in terms of the galactic ecliptic and the middle of the spiral, 30 LY just means that your
travel speed is faster than someone with less range. You can get about 45 jumps an hour if you are just doing swoop and scoop movement and level 1 "honk" scans (level 2 is actual body scans, level 3 is L2 with DSS). All that the 30 LY means in this case is that you will be further along at the end of those jumps than someone with 25 LY.
If you aren't looking to "claim" things, as mentioned previously, you can use
Zero to Hero to gain rank without leaving the original bubble.