A quick example demonstrating how to create a Quick Settings Tile using the new Quick Settings Tile API introduced in Android N.

activity_main.xml

<?xml version="1.0" encoding="utf-8"?>
<android.support.design.widget.CoordinatorLayout
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:fitsSystemWindows="true"
    tools:context="com.jerrellmardis.quicksettings.MainActivity">

    <android.support.design.widget.AppBarLayout
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:theme="@style/AppTheme.AppBarOverlay">

        <android.support.v7.widget.Toolbar
            android:id="@+id/toolbar"
            android:layout_width="match_parent"
            android:layout_height="?attr/actionBarSize"
            android:background="?attr/colorPrimary"
            app:popupTheme="@style/AppTheme.PopupOverlay"/>

    </android.support.design.widget.AppBarLayout>

</android.support.design.widget.CoordinatorLayout>

DisplayTimeoutTileService.java

import android.provider.Settings;
import android.service.quicksettings.Tile;
import android.service.quicksettings.TileService;
import android.widget.Toast;

import java.util.concurrent.TimeUnit;

import static android.provider.Settings.System.SCREEN_OFF_TIMEOUT;

/**
 * <p>
 *     A {@link TileService} which toggles the user's display timeout.
 * </p>
 */
public class DisplayTimeoutTileService extends TileService {

    public DisplayTimeoutTileService() {
    }

    @Override
    public void onStartListening() {
        Tile tile = getQsTile();
        if (tile != null) {
            tile.setState(Tile.STATE_ACTIVE);
            tile.updateTile();
        }
        super.onStartListening();
    }

    @Override
    public void onClick() {
        try {
            int time = Settings.System.getInt(getContentResolver(), SCREEN_OFF_TIMEOUT);
            final long twoMinutes = TimeUnit.MINUTES.toMillis(2);

            // toggle display timeout
            if (time == twoMinutes) {
                Settings.System.putLong(getContentResolver(), SCREEN_OFF_TIMEOUT, TimeUnit.MINUTES.toMillis(30));
                Toast.makeText(getApplicationContext(), getString(R.string.timeout_display_msg_30), Toast.LENGTH_SHORT).show();
            } else {
                Settings.System.putLong(getContentResolver(), SCREEN_OFF_TIMEOUT, TimeUnit.MINUTES.toMillis(2));
                Toast.makeText(getApplicationContext(), getString(R.string.timeout_display_msg_2), Toast.LENGTH_SHORT).show();
            }
        } catch (Settings.SettingNotFoundException e) {
            e.printStackTrace();
        }
    }
}

MainActivity.java

import android.content.Intent;
import android.os.Bundle;
import android.provider.Settings;
import android.support.v7.app.AppCompatActivity;
import android.support.v7.widget.Toolbar;

public class MainActivity extends AppCompatActivity {

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);

        setContentView(R.layout.activity_main);
        setSupportActionBar((Toolbar) findViewById(R.id.toolbar));

        // you need to allow the app to modify System settings
        // this is only for testing purposes
        // you should explain to the user why they are being directed 
        // to the settings screen before starting the new activity
        if (!Settings.System.canWrite(this)) {
            startActivity(new Intent(Settings.ACTION_MANAGE_WRITE_SETTINGS));
        }
    }
}

strings.xml

<resources>
    <string name="app_name">Quick Settings</string>
    <string name="action_settings">Settings</string>
    <string name="display_timeout">Display Timeout</string>
    <string name="timeout_display_msg_30">"Timeout set to 30 minutes"</string>
    <string name="timeout_display_msg_2">"Timeout set to 2 minutes"</string>
</resources>