$re = '/^(?=(?:[^A-Z\n]*[A-Z]){2,4}[^A-Z\n]*$).{6,12}$/m';
$str = 'Valid matches would be:
HamBurger
LeTtUce
TACOss
But invalid matches would be:
ABCDE1234
aBcDeFgHiJ
ADBC';
preg_match_all($re, $str, $matches, PREG_SET_ORDER, 0);
// Print the entire match result
var_dump($matches);
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for PHP, please visit: http://php.net/manual/en/ref.pcre.php