Are you sure you have PD carbs? K6 originally had the oldstyle Keihins IIRC. Has plugcap #4 been checked for resistance? There's no point turning to the carbs before every item of the ignition has been checked.
Absolutely certain they are Keihin PD [ I know they are not the original for the K6, I chose them because they look better on a café racer which the bike now is]
This bikes engine & carbs etc have been totally rebuilt except for the floats in the carbs, but after the rebuild, done by a professional SOHC engine specialist, it did run fantastic for several months.
Right now I am still recovering from spinal surgery so not really fit enough yet to be getting up / down & dirty.
I will keep you posted