Buckeye is right. While 34 taps is a lot, I read a few years ago that 37 might be the max. That said, on a lease I had a few years ago I had one line that I really went overboard on. I had 43 taps on one 3/16. It happened, when after setting up a line, I noticed a line of sugar maples going back into the woods from where the original line had started at the high end. Since the sap was running, I set up a line extension that had 14 more taps, and I just tied it as an extension to the existing line. From the original end tree, I removed (cut off) the end hook and used a coupler to join it to the original line with 29 taps on it.
I planned to convert it to separate lines before the next season, however, it stayed with 43 for 2 more seasons, then I sold that lease (actually back to the landowner), he is now collecting the sap, because he retired last month.
Was 43 ideal? Certainly not, did I cause a loss of sap potential, absolutely. However watching he sap/air (gases), sap/air march down the hill was still very satisfying. On slower sap flow days you won't likely lose any potential, but on real good sap flow days you will get less sap than you could with 2 lines.