Not sure where you located, at Sea level or out west at HIGH altitude?
Swapping probes is not a bad idea, simple and quick but, usually the probes seem to fail extremely one way or the other, usually high off the chart, and not marginally. Usually!
1625 sounds a little high, again depends somewhat on your altitude. I normally see 1550-1575 peaks routinely at high power and low level, below 3K MSL, depending on OAT.
Check your timing, slightly retarded timing will give you higher EGT's and lower CHT's. And 360 degrees CHT sounds "kinda" low for my 0320, especially for # 3 which tend to run hottest, for 2400 rpms and 100 ROP. Again, knowing where you are operating, at what altitude and OAT would influence the numbers.
Also try a high cruise power, VERY LEAN, in flight mag check, leave it on one mag for a at least one minute. Being very lean put's the most stress on the ignition and will reveal any weaknesses quicker than a low power and/or very rich mag check. A weak or intermittent spark plug will cause higher EGT's and lower CHT's .
While your swapping probes, swap the plugs too and eliminate them as the problem as well!
Report back what you find.
One other thing, try checking it at different power settings, say 2300 and then 2500 or so and see if the differential increases, decreases or stays about the same.
And, maybe post a data trace from the JPI ?
Almost forgot the obvious, an induction leak on # 3 would cause a higher EGT, although your normal to cool CHT would make it doubtful but, worth a check anyway. Look for a loose/torn induction hose and loose primer/injector plug.