I have the same version of Payara Server (126.96.36.199) running on two different machines. I do not have the same list of available cipher suites between the two. What determines the available cipher suites in Payara and GlassFish?
We needed to download the Java Cryptography Extension to get the Cipher Suites we we were looking for. Installation consisted of copying the local_policy.jar and US_export_policy.jar from the download into the $JAVA_HOME/jre/lib/security directory, overwriting the existing copies.