Just wanted to say thanks for this thread. Been having similar issues with our '13 L6060 HSTC, stalling out esp under load, fairly intermittent but was occurring with increasing and annoying frequency (eg 3 or 4 times snowblowing down a few hundred feet drive). Got somewhat better after fuel treatment so wondered re algae but still occurring. No response to new fuel filter, no water in gas etc. Had our mechanic (very skilled recently retired Caterpillar diesel mechanic, seen it all) out on weekend.
Was able to detect very low fuel fill by removing line after the electric pump (the one that goes into the check valve) and running with key on into a bucket. Suspected the electric pump but able to test that by removing the line from water separator to the fuel pump and putting that in a small container of clean diesel and retrying key on - ran fine, so issue clearly between tank and pump. Removed line into water separator from tank, loosened fuel cap and blew air through the line, can hear left hand tank vigourously bubbling as do so. Flow fine after that, reassembled system and worked flawlessly afterwards.
Realize probably some debris or slime in tank (conceivable if slime may break down after agitation with treated fuel) and if/when recurs will need to drop the fuel tank for full cleanout but that is a warmer weather task if it is required.
This thread had a bunch of useful diagrams/photos on the fuel system on these tractors for future reference.
Questions on the care of the fuel systems in new common rail L tractors