mid-15c., quinte (late 13c. in Anglo-French), "a tax of one-fifth," from Old French quint, from Latin quintus "the fifth," ordinal to quinque "five" (from PIE root *penkwe- "five"). Used in English for "group or set of five" since 17c. First attested 1935 as a shortening of quintuplet (American English; British English prefers quin); used originally of the Dionne quintuplets, born May 28, 1934, near Callander, Ontario, Canada (compare quin).
<a href="https://www.etymonline.com/word/quin">Etymology of quin by etymonline</a>
Harper, D. (n.d.). Etymology of quin. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/quin