I had to do some modifications to make this weave work with our rings. I am very happy with the results. You can also find the copper and black bracelet in a kit.

Start with 2 6mm rings and connect them with 1 4mm ring.

Place a 6mm ring over the 4mm ring, like shown.

Now add 2 4mm rings passing through the top 6mm ring and each of the outside 6mm rings as shown.

Add 2 4mm rings to the bottom half as just like you did for the top.

This next ring is optional, but I think it helps keep the weave uniform. Add 1 4mm ring to each set of 4mm rings on the top and bottom. 

Repeat to continue. Use the outside ring in the previous knot as the first outside ring in the next knot.

Celtic Daisy

I also figured out you can make a Celtic daisy. Make a chain of 6 Celtic knots, leaving off the bottom black 4mm rings, attach the ends together. Then run a black 6mm ring through all of the bottom copper 4mm rings to form a circle, and you have made a daisy. Its a little challenging to get all of the copper rings on the 6mm black ring, so I added 8 of the copper rings, closed the 6mm black ring, then attach the remaining copper rings.