The TapeLoop is 15 repeats of length 8 = 120.
And there's 7 outputs per loop.
Which nets a rate of 120/7 = 17.1428

I think that this is max-rate, it pulls all the inputs as fast as possible and projects all the lead. I think this leaves the most resources for the second pipeline. It takes two tape loops to re-synchronise as the Lead pipeline switches parity each loop (one side outputs 3 and the other 2, then they swap), but regardless of parity I get 7 outputs each tape.

The other pipeline handles all the excess Tin inputs and builds 2 outputs per tape. I got the first pipeline done with a length 8 tape, but it led to the tin appearing at awkward intervals on the second pipeline. They arrive on [loop 1 & loop 2 mod 3] but the pipeline consumes 5 per output. This wouldn't be an issue normally, but I can't unbond them or the alloy falls apart. In the end I just unrolled 15 copies of the tape so I could manually handle the timing of the second pipeline.

Routing the two outputs from the first pipeline is a bit hacky, luckily one outputs near the second pipeline, but the other is all the way across the machine so it goes the long way round. Unrolling the tape gave me more actions per arm which was handy for handling the output.