Tweed was a form of fashion invented on Europe during the Victorian era.
The Doctor wore tweed jackets during his sixth (Audio: Criss-Cross), seventh (TV: Doctor Who) and eleventh incarnations (TV: The Eleventh Hour, onwards). He also wore tweed trousers during his fourth (TV: Robot) and seventh incarnations. (TV: Time and the Rani)
The Master wore tweed jackets during the Time War. (Audio: Only the Good, The Master of Callous, Rage of the Time Lords, Day of the Master)
Jackson Lake wore a single breast overcoat of mustard brown tweed with a maroon overcheck. (TV: The Next Doctor)
Sarah Jane Smith wore a light brown tweed blazer when she met the Tenth Doctor. (TV: School Reunion)
Brigadier Lethbridge Stewart wore a light brown tweed jacket. (TV: Enemy of the Bane)