[TabPane] NPE from TabPaneSkin removeTab

See https://community.oracle.com/message/12346284

java.lang.NullPointerException
at com.sun.javafx.scene.control.skin.TabPaneSkin$TabHeaderSkin.access$1400(TabPaneSkin.java:1026)
at com.sun.javafx.scene.control.skin.TabPaneSkin.removeTab(TabPaneSkin.java:386)
at com.sun.javafx.scene.control.skin.TabPaneSkin.handleClosedTab(TabPaneSkin.java:263)
at com.sun.javafx.scene.control.skin.TabPaneSkin.access$400(TabPaneSkin.java:92)
at com.sun.javafx.scene.control.skin.TabPaneSkin$3.handle(TabPaneSkin.java:251)
at com.sun.javafx.scene.control.skin.TabPaneSkin$3.handle(TabPaneSkin.java:249)
at com.sun.scenario.animation.shared.TimelineClipCore.visitKeyFrame(TimelineClipCore.java:231)

package testjavafx;

import javafx.application.Application;
import javafx.beans.value.ChangeListener;
import javafx.beans.value.ObservableValue;
import javafx.scene.Scene;
import javafx.scene.control.Tab;
import javafx.scene.control.TabPane;
import javafx.scene.control.TabPane.TabClosingPolicy;
import javafx.scene.layout.StackPane;
import javafx.stage.Stage;

public class TestJavaFx extends Application {

    private TabPane tabPane;
    private Tab addTab;
    private Tab currentTab;

    @Override
    public void start(Stage primaryStage) {

        //Create the tab pane and the 'addTab' for adding new tabs.
        tabPane = new TabPane();
        tabPane.setTabClosingPolicy(TabClosingPolicy.SELECTED_TAB);

        addTab = new Tab("+");
        addTab.setClosable(false);
        tabPane.getTabs().add(addTab);

        //Add a listener to listen for changes to tab selection.
        tabPane.getSelectionModel().selectedItemProperty().addListener(new ChangeListener<Tab>() {
            @Override
            public void changed(ObservableValue<? extends Tab> observable, Tab oldSelectedTab, Tab newSelectedTab) {

                //If we change to the addTab create a
                //new tab and change selection.
                if (newSelectedTab == addTab) {
                    //Create the new tab.
                    createNewTab();
                } else {
                    currentTab = newSelectedTab;
                }
            }
        });
        //Create a new tab for initial load of the app
        createNewTab();

        StackPane root = new StackPane();
        root.getChildren().add(tabPane);

        Scene scene = new Scene(root, 500, 500);

        primaryStage.setTitle("Tab Test");
        primaryStage.setScene(scene);
        primaryStage.show();
    }

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
        launch(args);
    }

    private Tab createNewTab() {
        Tab newTab = new Tab("New Tab");
        newTab.setClosable(true);
        tabPane.getTabs().add(tabPane.getTabs().size() - 1, newTab);
        tabPane.getSelectionModel().select(newTab);
        return newTab;
    }

}