Insert a new field

I need to include a new field with several options, how should my php array look like below?

// Custom field name and type of field
$data = array(
    'name' => 'Random name for a custom field',
    'field_type' => 'double'
  );

Multiple options

set

Multiple options field lets you predefine a list of values to choose from.

Multiple option fields can have max of 10,000 options per field.