QUESTION:
I am curious if there are any plans to launch multiple independent miniature probes from Jupiter's orbit into 
the Red Spot in hopes of mapping the storm's structure and learning more about it.

ANSWER from Reta Beebe:
There is a study group, the Outer Planets Working Group,
that advises administrators at NASA headquarters concerning
missions they should consider and obstacles that would
prevent easy execution of these missions.

This group ranks multiple probes into Jupiter's atmosphere
as the most important future mission to Jupiter.  However,
here is a question that is more basic than determining the
nature of the Red Spot.  This question is what drives the
east-west winds and how is heat transferred in the
atmosphere.  Multiple probes at different latitudes are
needed.  These probe should be able to measure temperature,
pressure and chemical composition at different depths in the
atmosphere.  The size of the Galileo probe was determined by
the size of the mass spectrometer-- the instrument that
determines the chemical composition (how much water, helium,
H2S, etc. is present.)

A PROBLEM THAT MUST BE SOLVED BEFORE WE CAN PLAN MISSIONS
LIKE THE ONE YOU ASKED ABOUT AND THE ONES THAT WE WANT IS
THAT WE OR YOU MUST DEVELOP A MUCH LESS MASSIVE SPECTROMETER