I just did it after running the engine for 5 min.

12.34 V at idle. 12.35V at high RPM.

I removed the battery from the car and charged over the night. The first test was the first engine start, and the test I just did was the second engine start after recharge.

Below is the story.

morning, 2 days ago
some explosive sound, beeping sound, radio went off, the lights on the instrument panel blinked, unable to re-start the engine after a turn off

afternoon, 2 days ago
jump started, ran engine for 15 min, battery seemed to become weaker instead of becoming stronger, all electrical things went off while the engine was running,
traveled home in the dark in the rain/snow without lights, blinkers, speedometer, wiper, etc.

evening, 2 days ago
received free replacement of the 1 year old battery at Pepboys

morning, 1 day ago
no problem

evening, 1 day ago
I could starting the engine. After about 40 min driving, ABS and SRS lights came on. I tried stop-and-restart of the engine to eliminate those lights, but I could not restart the engine. Jump started. All the electrical things soon went off while the car was running.
I purchased a battery charger, and recharged the battery.

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1992 300D 2.5 turbo diesel. 319 k miles.
124.128 chassis, 602.962 engine, 722.418 tranny.