Both of the above are good advise.
I'll offer some other things.
First a 4X4X32 forge chamber is very narrow. That is a great size for a dedicated heat treat electric oven, but too small for a multi burner gas forge to run right.
Second, the chamber should be round, not square, especially for a HT forge. I would use 10-12" pipe with a 2.5" lining, (2" of Hi-Z wool with a 1/2" coating of refractory and ITC100) .That will give you a 5" or 7" chamber. That will allow a 2" or 3" muffle to be inserted with enough room for the gasses to exhaust.More on that later.
As far as the burner ports in a HT forge (or any forge ,really) there is no need for one every four inches. If the forge is to be controlled by a PID and thermocouple, then the whole forge will be allowed to heat up to the desired temperature and maintain its heat by the hot lining. This is where a poured refractory is good. It may take 30 or more minutes to come up to temp, but it will hold it evenly and well. Kaowool and a good heavy lining coat of satanite topped with ITC100 works well,too. A muffle for long blades is a real good idea.More on that later,too.
As to the burners:
If the forge was 32" long and the burners were 4" apart there would only be seven ,not eight. 0,4,8,12,16,20,24,28,32. You don't put a burner at 0 or 32". In practicality, 6" apart works fine.Five burners,spaced at 4,10,16,22,28 will work well. Putting a shut off valve in the manifold to disconnect burners 3,4,and 5 will allow you to turn them off for shorter work. Inserting an insulating slug ,(a 4-6" slug of poured refractory in a piece of pipe or a can will work fine),will shorten the chamber to 16". It shouldn't be air tight, just enough to close the chamber down , while allowing some exhaust gas to escape. Sticking a 24" stainless rod in the slug ,for insertion and removal, is a good idea.(remember, it will get HOT)
Making a second,shorter forge with one or two burner nozzles is a better idea.This forge can be used for forging and the long forge used for HT. Doing this will allow the long forge to be built with a dedicated muffle.
Now, about a muffle:
Use a heavy walled (schedule 80 or more) stainless pipe, 2-3" round, and about 10" longer than the forge. Put a 6" refractory (poured) plug in the back end of the muffle, and make a removable 4" plug (soft firebrick) for the front.This will seal the HT chamber fairly well to keep the oxygen down (but not air tight).Leave the rest of the soft firebrick sticking out to allow removal with tongs or insulated gloves.
Now ,this is important , you need to have enough exhaust porting in the burner chamber to keep the pressure down in the chamber.The exhaust port area should be about 5 to 10 times the burner port area. That translates to (for a five burner forge with 1" nozzles) a straight tube forge with a 7" chamber (no end doors) with a 3" muffle down the center (or a 5" chamber with a 2" muffle). Support the muffle about every 6 inches on some pieces of hard fire brick, to keep it centered in the forge chamber. The burner flames will circle around the muffle and heat it from all sides.The thermocouple needs to be in the muffle to read the exact temperature the blade is receiving.It can be inserted through a tube cast into the rear plug. Installing a dedicated thermocouple that is plugged into the controller is a good idea. It should be your best thermocouple, with a ceramic sheath.This is for the HT, less than the best is not good enough here. The thermocouple wiring at the end of the muffle should be well insulated from the exhaust gasses.
If you design the controller and fan with quick connect propane fittings (Darren Ellis) in the propane hose,and a union on the blower pipe, you can switch the controller and blower from unit to unit in a couple seconds.
I am building an ultimate controller setup in a tool box. It will have everything to run a forge or tempering oven built in it. Just plug in the peripheries (blower fan, propane,oven coils,thermocouple, etc.), and plug the controller into the AC and the propane tank. At the end of the day, it unplugs, closes up and is carried away to be safely stored. It can be quickly hooked up to a non-controlled forge on a visit or hammer-in (I always carry extra quick disconnect fittings).
BTW,Using thermocouple plugs on your thermocouples allows for them to be switched and changed easily,too. Buy a bag of 6 sets, so all the wires have the same plug.
Last comment - when you build a big forge ,don't scrimp.....this is a big tool, and should be the best you can build.Spending a little more will be money well invested. Using stainless pipe, it may last for your lifetime with a little care. The HT oven will put the soul into your blades. A bad HT will make the best forged/ground blade useless. Give your blades and yourself the best start possible.
Well, that is enough for you to think on for now.
Stacy