I'm not familiar with the term "shuttle cork." It is possible that it may be a typo or a misspelling of "shuttlecock," which is the object used in the sport of badminton.
goose feathers...
There are 16 feathers in a batminton shuttle according to Olymic rules.
There are two parts in Badminton shuttle cock that are made of the feathers of a cockerel. Cock diameter is 1" attached with wings.
16
16!
The frame of the high quality shuttlecock is actually 16 goose feathers secured in the cork and tide with thread. More commercial shuttlecocks use nylon mesh in place of the goose feathers.
The cork at the bottom of the shuttlecock is heavier, which helps stabilize its flight when it is hit upwards. When the shuttlecock starts to descend after being hit, the heavier cork naturally stays at the bottom due to gravity, providing a stable base for the feathers to slow down the descent and keep the flight consistent.
A really thick tin.
A shuttlecock weighs around 4.75 to 5.50 grams (0.168 to 0.194 oz). It has 16 feathers with each feather 70 millimetres (2.8 in) in length. The diameter of the cork is 25 to 28 millimetres (0.98 to 1.1 in) and the diameter of the circle that the feathers make is around 54 millimetres (2.1 in).
Duck,with white feathers
5 feet 1 inch