I currently have PHP code that handles the logic for this because I do not know how to handle it in SQL. I want to create a stored procedure that will select all the elements in a table for a given run_id and delete all of them except for the 'newest' 5 entries (as noted by the stop_time column).

CREATE TABLE  `TAA`.`RunHistory` (
  `id` int(11) NOT NULL auto_increment,
  `start_time` datetime default NULL,
  `stop_time` datetime default NULL,
  `success_lines` int(11) default NULL,
  `error_lines` int(11) default NULL,
  `config_id` int(11) NOT NULL,
  `file_id` int(11) NOT NULL,
  `notes` text NOT NULL,
  `log_file` longblob,
  `save` tinyint(1) NOT NULL default '0',
  PRIMARY KEY  (`id`)
) ENGINE=InnoDB AUTO_INCREMENT=128 DEFAULT CHARSET=utf8;