Start with basics, have you changed filters?

Had a situation that kind of reminds me of this with an IDI diesel genset I was messing with after Irma...

Would start and run beautifully. But would randomly shut down on underspeed at odd times. Sometimes it would shut down time after time, a few minutes apart... Sometimes it would shut down after 1-2 hours. Sometimes it would run 12 hours or more with heavy load.

Filters helped a bit. A supplemental fuel booster pump (the engine is installed on top of the fuel tank, and didnt have a lift pump) resolved it completely.

So Id want to ensure that the filters on the engine were new (and leak free), then the fuel tank strainer, then ensure that there is sufficient fuel lift.

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Current Diesels:
1981 240D (73K)
1982 300CD (169k)
1985 190D (169k)
1991 350SD (116k)
1991 350SD (206k)
1991 300D (228k)
2008 ML320 CDI (199k)
1996 Dodge Ram CTD (442k)
1996 Dodge Ram CTD (267k)

Past Diesels:
1983 300D (228K), 1985 300D (233K), 1993 300D 2.5T (338k), 1993 300SD (291k)