/diy/ - Do It Yourself

I bought a multi-light ceiling fixture and all six lights have their own wires to connect, and I cannot fit all six live wires and six neutral wires into the tiny connecting box (left pic) that came with it, and the wires in the ceiling (right pic) wouldn't fit in the connecting box anyway.

I've installed light fixtures before but they were all much more straightforward and just had one wire of each type that would fit into regular wire caps.

Am I missing some approach with twisting and some electrical tape, or should I try to find another connector box (if this is the right term)? And if it is the latter, where should I order one?