w3tc_flush_custom_post_types.php

<?php

/**
 * Flush W3TC page cache when custom post types are updated.
 */
function flushCustomPostTypesPageCache( $post_id ) {
    $custom_post_types = array(
        'post_type' => true
    );

    if( array_key_exists( get_post_type( $post_id ), $custom_post_types ) ) {
        if( defined( 'W3TC' ) ) {
            w3tc_pgcache_flush();
            w3tc_dbcache_flush();
        }
    }
}

add_action( 'save_post', 'flushCustomPostTypesPageCache', 1000, 1 );
add_action( 'edit_post', 'flushCustomPostTypesPageCache', 1000, 1 );
add_action( 'delete_post', 'flushCustomPostTypesPageCache', 1000, 1 );