How to redirect to the index page if session expired or time out occurs as per the session-timeout at any page in java, jsf?

How to redirect to the index page if session expired or time out occurs as per the session-timeout at any page in java, jsf?

// in web.xml

<session-config>
        <session-timeout>
            30
        </session-timeout>
    </session-config>

// in faces-config.xml

<lifecycle>
        <phase-listener>testlab.utils.SessionPhaseListener</phase-listener>
    </lifecycle>

// in SessionPhaseListener.java

package xyz.utils;

import javax.faces.FacesException;
import javax.faces.application.Application;
import javax.faces.application.ViewHandler;
import javax.faces.component.UIViewRoot;
import javax.faces.context.ExternalContext;
import javax.faces.context.FacesContext;
import javax.faces.event.PhaseEvent;
import javax.faces.event.PhaseId;
import javax.faces.event.PhaseListener;
import javax.servlet.http.HttpSession;

public class SessionPhaseListener implements PhaseListener {

    private static final String homepage = "faces/index.xhtml";

    @Override
    public void afterPhase(PhaseEvent event) {
        //Do anything
    }

    @Override
    public void beforePhase(PhaseEvent event) {


        FacesContext context = event.getFacesContext();
        ExternalContext ext = context.getExternalContext();
        HttpSession session = (HttpSession) ext.getSession(false);
        boolean newSession = (session == null) || (session.isNew());
        boolean postback = !ext.getRequestParameterMap().isEmpty();
        System.out.println("newSession::" + newSession + " postback::" + postback);
        boolean timedout = postback && newSession;
        if (timedout) {
          
            Application app = context.getApplication();
            ViewHandler viewHandler = app.getViewHandler();
            UIViewRoot view = viewHandler.createView(context, "/" + homepage);
            context.setViewRoot(view);
            context.renderResponse();
          
            try {
              
                viewHandler.renderView(context, view);
              
                context.responseComplete();
              
            } catch (Throwable t) {
                throw new FacesException("Session timed out", t);
            }
        }
    }

    @Override
    public PhaseId getPhaseId() {
      
        return PhaseId.RESTORE_VIEW;
    }
}