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To achieve this hack, we have to make a custom SQL query by using the $wpdb object. Let's start by creating 3 php variables: The first one is the number of days between today and X days ago, the second is today's date and the last one is today's date - X days.

<?php
$days = 7; //To fetch posts published during the last 7 days
$today = date("Y-m-d H:i:s"); //Today's date
$daysago = date("Y-m-d H:i:s",strtotime(date('Y-m-j H:i:s')) - (7 * 24 * 60 * 60));  //Today - $days

$result = $wpdb->get_results("SELECT comment_count,ID,post_title, post_date FROM $wpdb->posts WHERE post_date BETWEEN $daysago AND $today ORDER BY comment_count DESC LIMIT 0 , 10");

foreach ($result as $topten) {
    $postid = $topten->ID;
    $title = $topten->post_title;
    $commentcount = $topten->comment_count;
    if ($commentcount != 0) {
    ?>
         <li><a href="<?php echo get_permalink($postid); ?>"><?php echo $title ?></a></li>
    <?php }
}
?>

You can paste this code wherever you want, to get the 10 most commented posts from the last 7 days.