Hello,
You need the set the border* properties.
For example:
$valuesTable = array(
    array(
        array(
            'value' => 11,
            'borderLeft' => 'nil',
            'borderTop' => 'nil',
            'borderBottom' => 'nil',
        ),
        array(
            'value' => 12,
            'borderTop' => 'nil',
            'borderBottom' => 'nil',
        ),
        array(
            'value' => 13,
            'borderTop' => 'nil',
            'borderBottom' => 'nil',
        ),
        array(
            'value' => 14,
            'borderTop' => 'nil',
            'borderRight' => 'nil',
            'borderBottom' => 'nil',
        ),
    ),
);
$paramsTable = array(
    'border' => 'single',
    'tableAlign' => 'center',
    'borderWidth' => 10,
    'borderColor' => 'B70000',
    'textProperties' => array('bold' => true, 'font' => 'Algerian', 'fontSize' => 18),
);
$docx->addTable($valuesTable, $paramsTable);
Regards.