I believe at this point, between Sammy and Fionn, we've got the four extra dice I'm allowed.
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Original:
13d6.hits(5)=5With contributions:
7d6.hits(5)=2Total of 7 hits, no glitches except for RHat's.
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Reading through the RAW on teamwork tests (SR4A p.65), I'm not sure that RHat's glitch affects the results at all:
Sometimes characters may choose to work together on a task, whether they are holding the door against a rampaging paracritter or fixing a car. To determine success, pick one character as the primary acting character. Each of the secondary characters makes the appropriate test; each hit they score adds +1 die to the primary character’s dice pool. The primary character then makes the test, and her results determine success. The maximum dice bonus the primary character can receive from teamwork is equal to that character’s skill.
If any of the assisting characters roll a critical glitch, raise the threshold for the test by 1 (3 for Extended Tests).
There's text for critical glitches, but not regular ones.