Jews in Western Sephardi synagogues have long worn a certain style of talit which is made of silk and drapes around the arms.
This custom, followed by all who attend services (Sephardim and Ashkenazim alike), is one of the distinctive traditions of the S&P community. In recent years finding an S&P talet to purchase has been a challenge. However, recently two different talit makers -- one in Italy and another in the U.S. -- have undertaken to make them. To learn more about their talit and specific sizes and other details, etc, please see their web pages here:
Talled di Seta
You can also read more about this talit tradition in these two excellent articles by Rabbis Jonathan Cohen and Shalom Morris: