Wiktionary
peritenon
n. The connective tissue sheath surrounding a tendon.
Wikipedia
Peritenon
Peritenon (from Peri-:around, tenon:tendon) is the connective tissue sheath surrounding a tendon. Inflammation of a peritenon is called "peritendinitis" or "peritenonitis". Although Achilles tendon has no synovial sheath, it has a peritenon instead which has the same function.