Intense Exercise After Dental Implants Surgery: Can this Cause Problems?

I had an implant installed recently and since I am a competitive distance runner, was told to take two days off from running after the surgery. I took a “Z”-pack to guard against infection, and a prescription mouth rinse. Pain meds were also prescribed as needed. I rested for two days and on day three ran 10 miles, day four ran 8 miles, day five ran 8 miles, and day six ran 8 miles. I noticed pain beginning to build sporadically throughout these few days of running but was unsure if this was the normal healing process. Could my pain be caused from running those four days, even though I took two days off from training after surgery? How would/does intense exercise effect post-oral surgery recovery from dental implants? Ibuprofen seems to be helping more than pain meds, maybe because it is more effective in treating inflammation? Could I have inflammation without an infection? Thanks.