If you had the first 3 or 4 digits of the cards then you couls search but this will only work if all the cards came from the same bank (company cards)
If you have nothing to start the search string with then it becomes very difficult to search for any 16 digit number.
If you have the first 3 or 4 digits you could search for them using wildcards
e.g 1234******** each * represents one character
But this will only work if you have at least 3 digits to start off the query