Headlamp H4-Ceramic-Socket with heavier wire

I am rebuilding my harness and need to order these connectors and terminals. Question.... My factory plugs have two wires connected to each terminal. Do these terminals accept 2 wires? if not, do you know what the type are called? I have standard size 2-wire Packard 56 series female terminals but these are a larger connector

I believe I used 10 gauge on one set but it was a very tight fit to get the spade terminal in the ceramic plug housing. So if you ‘two wires’ combined are a smaller diameter than one 10 gauge I say they will fit.

Why not just use your original two wire to energize the relay and use new 12 or 10 gauge wire to the headlight plugs? Or did I miss-understand your question?