Hi lots of sensible suggestions. "Thinking around the point’ is part of the ‘diagnosis neurosis’ one can suffer when problems don’t leap out as having obvious solutions and worse…are intermittent… as your helpers realise.
When dealing with yours in a away it isn’t intermittent. It happens after running ok…then something else happens…replaced parts, time delay, perhaps weather…
When working with plugs and individual coils, always mark which cylinder they are from. If you don’t you have no points for comparisons and accurate recall.
Does exhaust smoke differently when ‘missing’…does pressure of exhaust gases against feel less whe missing occurs (exhaust faults).
Keep a diary each day on Kms, weather, last fuel fill and where , last time removing parts, symptoms and how when and where. Do you have electric fuel pump or mechanical?..or both?
As well as fuel mixture variations through pump intermittency and/or loss of pressure , water in fuel, filters dirty, obstacle in line, intermittent or faulty injectors… missing can occur through faulty catalyctics and mufflers. Is it all through one cylinder…it helps to do a systematic and well recorded isolation test run.
Looking at your plugs…which I gather have been several times replaced…all look ok but one different as noted by others. To me that’s not oiled-up…it’s just not firing cleanly. What cylinder is it? Is it the same every time or do you just put them back ‘willy nilly’…not so sure about the gaps…what are you using to check? are you measuring at least wide gap?
Spark plugs should always be tensioned ‘in’ . Overtigtening can cause gap changes…however my immediate impression of your plugs is that the sealing washers have not been crushed. I could be wrong but…are you seating plugs to correct tension? If not seating properly so as to seal engine at all temperatures you can get malfunction
The plug with the slightly darker centre electrode,it seems the least worn so maybe not firing as often as the others.
One has to be careful with electronic ignitions that shorting a coil toblock does not cause a failure at the ECU. Better to pull a coil to stop firing at any cylinder if there is a warning on shorting…after all…plugs do sometimes ‘short’ across gap.So pull ALL plugs, marking their cylinger number onto them…not just laying down in order…they can roll away or one forgets…
Do compression test 3 times and record figures
Replace plugs in ‘correct’ cylinders run car normally until fault arises…I’d try every half hour for two hours in morning and same in evening (different atmospherics) which might be when you start if some other day. So…if you replace plugs at I don’t know…say 3pm…start a few times (spaced) from 6pm to 8 pm then again the next morning as an initial check, This may tell you something is happening overnight in the engine…like coolant getting in…or some fuel flooding occurring…or some oil seeping-in down say a valve guide (usually giving oil smoke at startup)
Pull and replace coils one at a time from 1 to 4 to see whether the misfiring cylinder shows up…replace the plug from the missing cylinder. with a new one…(kept for testing purposes)
Does the fault go away (for a short time or longer…all recorded in diary. If not try a second test plug.
When fault re-arises go through same procedure …record.
If possible to do without damage…swap alternate coil ends (keep in correct firing order) with another…record which cylinder it is from. Does the same cylinder give a miss?..or does the cylinder from which you purloined it give a miss now? record.
What this does is give an orderly testing regime…all recorded.
A miss can also occur from hydraulic lifter faults …but that would likely always be same cylinder if motor starts and runs.A miss can occur from coolant getting into a cylinder (setting aside valve problems and ring problems.) A compression test should give you an inkling and a cooling system pressure test may back it up.
I’d first of all every time , after doing the testing regime as above…first see if replacing that blacker-electrode plug with a new plug. …keep always in same cylinder for this test…makes any difference. I am working here towards analysing possibilities without computer checks…My regards