Had a new to me Briggs twin Intek that was spitting, acted like valves. Checked valve setting and then thought maybe valve seats or ????
Could not get valve/valves to leak using leak down test and manually pushing open the valves with the push rods off. finally went to the Nikki carb.
I have seen Nikki carbs have those symptoms. Very strange that a carb will spit back and act like a valve. Sometimes on the dual throat Nikki's you can watch down the throat of the carb's intake and see which throat is doing the spitting. I've also seen them dual throat type cause one cylinder on a twin to be completely dead.
Is your Nikki a dual throat type or the single throat type?
I bought a replacement Nikki clone carb to replace a spitting Nikki awhile back (less than $20 and the clone did not spit back, just would not idle smooth. I used parts from the clone into the OEM Nikki and got a good run, mainly used the internal O rings, gaskets and the two little jets with the o rings. During testing the non-spitting clone carb indicated to me that it was the OEM Nikki carb that was causing the spitting and not the valves on the Briggs Intek OHV so I went to carefully checking and
replacing the internals inside the bowl section ONLY on the OEM carb using parts from the clone. BUT do not expect to take two Nikki carbs that appear same on the outside but be different on the inside. I just got lucky that day. Not all Nikki's are the same internally for transferring parts and pieces.
I've also used some of the lesser priced clone Nikki kits from flea bay and repaired OEM Nikki carbs. Here is couple of links on flea bay just to give you an idea of the lesser priced kits for single throat and dual throat Nikki's. I noticed that some of the needle's in the kits would cause a high float level when installed but the Nikki carb still worked ok (float would not set level when the kit replacement needle was installed) I purposely tested just to see if carb worked ok with the high float level and got a good run test.
Summary: From hands on experience. Nikki carbs will cause sputtering and spitting back on Both single cylinder and twin cylinder Briggs engines. (and both the single throat and the dual throat Nikki's)
and it's usually the rubber gaskets and o rings inside causing such.
The OEM Nikki kits are quite expensive. As compared to the old Walbro carb's Nikki carbs SUCKS BIG AIR. I think ethanol gas PROBABLY also reduces their life span.
Carburetor Rebuild Kit Master Overhaul For Briggs & Walbro LMT 5-4993 698781 | eBay
797890 Carburetor Overhaul Kit For Briggs & Stratton 791230 799230 699709 499804 | eBay
Here is a single throat Nikki kit on Amazon