Swing GridBagLayout: centering a button on the second row

I have this code that displays a label, a textfield and a button:

import javax.swing.*;
import java.awt.*;
import java.awt.event.ActionEvent;
import java.awt.event.ActionListener;
public class Form extends JFrame implements ActionListener  {
private JLabel label = new JLabel("What's your name:");
private JTextField field = new JTextField(15);
private JButton button = new JButton("Send");
public Form()  {
setTitle("Name Form");
setLayout(new GridBagLayout());
GridBagConstraints gbc = new GridBagConstraints();
gbc.insets = new Insets(10, 10, 10, 1);
gbc.anchor = GridBagConstraints.LINE_END;
gbc.gridx = 0;
gbc.gridy = 0;
add(label, gbc);
gbc = new GridBagConstraints();
gbc.insets = new Insets(10, 10, 10, 10);
gbc.fill = GridBagConstraints.HORIZONTAL;
gbc.gridx = 1;
gbc.gridy = 0;
add(field, gbc);
gbc = new GridBagConstraints();
gbc.insets = new Insets(10, 10, 10, 10);
gbc.anchor = GridBagConstraints.LINE_END;
gbc.gridx = 0;
gbc.gridy = 1;
add(button, gbc);
}
@Override
public void actionPerformed(ActionEvent event) {
}
public static void main(String[] args) {
Form myFrame = new Form();
myFrame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
myFrame.pack();
myFrame.setVisible(true);
}
}

It shows this:

I need the button to be horizontally centered like this:

How do I do this with GridBagLayout? I tried different values for anchor but nothing worked.

EDIT:

Adding gbc.gridwidth = 2 showed this:

The button needs to stretch over the two columns, so set the gridwidth.

    gbc.gridwidth = 2;

(Btw, you don't need to create a new GridBagConstraints for each component. Just reuse the say one and only change the properties that are different.)