- var_dump: documentation ( source)
- date_default_timezone_set: documentation ( source)
<?php
date_default_timezone_set('America/New_York');
$InitialDateTime = DateTime::createFromFormat('U', '1409611999');
$firstDayofWeek = clone $InitialDateTime;
$offset = 6;
$firstDayofWeek->modify((($InitialDateTime->format('w') + $offset) % 7) . 'days');
var_dump($firstDayofWeek->add(new DateInterval('P6D')));