search regex for Notepad++ : I am looking to create a regex for searching Notepad++

I have a notepad page with thousands of random codes such as:

415615610230
151156125611
161651651516
511111115165

I need to search the entire notepad for multiple codes with once search

I know the regex would look like (415615610230|151156125611|161651651516)

but what I need to do is build a regex like above by pasting in all my search criteria.

If I have say 100,000 numbers I might need to search the 100,000 numbers for 20 codes/numbers.

lets just say I want to search for

5155584865
5155584866
5155584867
5155584868
5155584869
5155584870
5155584871
5155584872
5155584873
5155584874
5155584875
5155584876
5155584877
5155584878
5155584879
5155584880
5155584881
5155584882
5155584883
5155584884

The regex should look like:

(5155584865|5155584866|5155584867|5155584868|5155584869|5155584870|5155584871|5155584872|5155584873|5155584874|5155584875|5155584876|5155584877|5155584878|5155584879|5155584880|5155584881|5155584882|5155584883|5155584884)

Is there a way to build the regex above by just pasting in 

5155584865
5155584866
5155584867
5155584868
5155584869
5155584870
5155584871
5155584872
5155584873
5155584874
5155584875
5155584876
5155584877
5155584878
5155584879
5155584880
5155584881
5155584882
5155584883
5155584884

Or can anyone recommend an easier way to search the entire notepad document?
