One of the parameter that you can pass to the supports argument is post_formats, removing this argument will fix the problem with the preview redirecting to a wrong or non-existing url.
Code sample:
if ( ! function_exists('custom_post_type') ) {
// Register Custom Post Type
function custom_post_type() {
// some code
$args = array(
// 'supports' => array( 'title', 'editor', 'author', 'thumbnail', 'revisions', 'post-formats', 'comments', 'sticky'),
'supports' => array( 'title', 'editor', 'author', 'thumbnail', 'revisions', 'comments', 'sticky'),
'taxonomies' => array( 'category', 'post_tag', 'your_cpt_pictures', 'your_cpt_updates', 'your_cpt_outline' ),
'capability_type' => 'post'
);
register_post_type( 'your_cpt', $args );
}
// Hook into the 'init' action
add_action( 'init', 'custom_post_type', 0 );