By my reckoning, using opposite sides of the Berlo wheel is so infernally awkward that a permanent catalyst is the best way to go fast.  What we lose in N, we more than regain in P and L.

I couldn't quite get maximum conduit throughput, which would have required a 6-cycle inner loop.  So I think this technique could get as low as 52, but nonetheless feel that this is a respectable effort.