Get and Renaming SPFolder c#

This is how you can rename a SPFolder. There is no need to use MoveTo() as suggested by others.
The user has to have rights to do it, or enclose the whole thing inside a

var siteId = "Guid of my site";
var webUrl= "Server relative path to my web";
SPSecurity.RunWithElevatedPrivileges(delegate(){
    using (SPSite elevatedSite = new SPSite(siteId))
   {
       using (SPWeb elevatedWeb = elevatedSite.OpenWeb(webUrl))
      {
          string requestFolderUrl = webUrl+ "/MYLIST/OldFolderName";
          SPFolder requestFolder = elevatedWeb.GetFolder(requestFolderUrl);
          if (requestFolder.Exists)
          {
               requestFolderItem[SPBuiltInFieldId.Title] = "NewName"; //not really needed for renaming
               //requestFolderItem[SPBuiltInFieldId.BaseName] =  "NewName"; //this Fails.don't know why
               requestFolderItem["BaseName"] =  "NewName"; //this Works!
               //don't want to update the Modified time nor the modified by Info
              //If you want to modify this info use Update, and avoid being in a RunWithElevatedPrivileges
             ///because else you would have the System User registered
               requestFolderItem.SystemUpdate(false);
           }
      }
   }
}