There should not be any problems from a function of F5 perspective. I have run into issues where the new code version on the F5 provides increased security by not using some of the older ciphers but clients still use old browsers that are not compatible with newer ciphers resulting in broken application.
I would recommend checking the following:
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Any specific client SSL cipher requirements ?
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For 11.6 code version, understand what "DEFAULT" cipher suite indicates and make sure it meets business requirements. See: https://support.f5.com/kb/en-us/solutions/public/13000/100/sol13156.html