Should i stop running if i get shin splints (pain in the tibia due to long distance running)?

Yes: and ice the shins and have your doctor prescribe an NSAID. If not better have your doctor rule out a stress fracutre.

Short term: Shin splints, or medial tibial stress syndrome, is best treated with rest, ice and over the counter anti inflammatory drugs such as ibuprofen. It may be prudent to take a week off and gradually return to your routine. If your pain persists, a visit to your doctor may be warranted. Good luck.