WordPress: Remove private posts from the main query on the posts page

wp-supress-private-posts.php

<?php
/* We can use the pre_get_posts action hook to modify a query before it's run.
* http://codex.wordpress.org/Plugin_API/Action_Reference/pre_get_posts*/
add_action( 'pre_get_posts', 'kvn_rem_pp' );
function kvn_rem_pp($query){
        if(current_user_can ('read_private_posts') ){
                /*restrict to the posts page main query.
                 *All other views (eg. category archives) unnaffected
                 *http://codex.wordpress.org/Function_Reference/is_home
                 *http://codex.wordpress.org/Function_Reference/is_main_query*/
                if ( $query->is_home() && $query->is_main_query() ) {
                        $query->set( 'post_status', 'publish' );
                }
        }
}