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I believe Edward Winter refers to this 24 move Einstein game in:

Chess Notes #3691. Einstein game (C.N.s 3533 & 3667)
A. Soltis gave the alleged Einstein game on page 372 of the July 1979
Chess Life & Review, with the following introductory note:

‘I’ve tried to find a good game by top-flight scientists without success.
The following, which can boast of two of the greatest names in physics,
will have to do. It was apparently played in the late 1940s when Hans
Albert Einstein, son of the Einstein, and Robert Oppenheimer were both on
the faculty of the University of California at Berkeley. Hans Albert was,
by the way, an internationally known hydraulic engineer – an expert on
control of rivers.’

As usual, Soltis offered nothing whatsoever to back up his assertions
about the circumstances in which the game was ‘apparently’ played.