With 502,000 lights linked by 30 miles of wire.

The Richards Family reclaimed their title with 502,000 lights linked by 30 miles of wire.

1) with 502,000 lights (that are) linked by 30 miles of wire, like "dogs that are brought..."

2) with 502,000 lights (being) linked by 30 miles of wire, like "with my mouth being full"

Which one is a correct of analyzing the phrase? I think that the #2 is correct. What do you native English speakers think?

Thank you so much in advance.