Help identifying an old caliber

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Hi all, just joined so hope someone can help as I don't know a lot about watches.

I have inherited an old gold Omega and the serial suggests it is 1916. However, I can't see a caliber and from the images I've seen from this era, it suggests that something is not quite right here.

All help gratefully received thanks.
 
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Sometimes i think at old models the caliber it's written under the balance..i can't spot it in this picture..
 
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12, 13 or 15 lignes, depending on the size.

(EDITED to add that it could also be 12 lignes)
Edited: