Probably a bit of irritation/inflammation in your PTT. Not a huge deal if you act now to strengthen the tendon and muscles and it doesn't become chronic tendinopathy. If it usually goes away after a few miles I wouldn't bother going to see a PT or specialist - it usually costs $$ and they'll pressure you to keep coming in. I would start doing these things religiously, on both left and right:
Get some kind of band (even a bike inner tube would work) and start doing lots of inversion exercises. I find it works best to wrap the band around a heavy table or chair leg and sit with your leg straight so you can maximize the force you can put into the band. Sometimes people recommend wrapping the band around your other leg or something but that doesn't work nearly as well if your posterior tibialis is already strong since you need lots of leverage to maximize the load (and since you're a runner and have medium/high arches, your PT muscle is probably stronger already than 99% of people). Do this slowly and controlled until your PT muscle is tired, every day. This helps strengthen that PT muscle specifically and also loads the tendon without major impact force, which will help it to heal.
You mentioned calf raises don't hurt, which is good. I recommend doing lots of eccentric calf raises on a stair, making sure to keep your PT muscle engaged and your arch high. Maintain strong contact with the stair in your big toe bone to make sure the PT muscle is engaged throughout the slow, downward motion. Eccentric loading is gentle but therapeutic for the tendon. This will also help strengthen your soleus which is beneficial.
Single leg balance for as long as you can hold without pain and feeling strong. You could get a balance pad or similar to make this more difficult, but just doing it on the floor is also good as you can feel the way your feet are connecting to the ground. Try hard to keep your arch high and PT muscle engaged the whole time.
I recommend doing all of these things immediately prior to running to "wake up" your posterior tibialis and soleus and warm up the tendon. You might find that this decreases the amount of pain you feel at the start of runs. Good luck!