As per SOL7815, 10.2.x code version's default cipher suite is:
!SSLv2:ALL:!DH:!ADH:!EDH:!MD5:!EXPORT:!DES:@SPEED
As per SOL13171 default ciphers for 11.5.x is
!SSLv2:!EXPORT:RSA+AES:RSA+3DES:RSA+RC4:ECDHE+AES:ECDHE+3DES:ECDHE+RC4:!MD5:!SSLv3
Normally, the recent code versions tend to support the newer cipher suites like the ECDHE. I am not sure if that can be made to work in 10.x code version.
I would recommend the following:
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10.x code version will be End of Support December 31, 2016. If this is a new set up, you may want to consider upgrading your code before setting it up as you will be looking at a code migration quite soon.
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If you don't want to upgrade code, provide the cipher suite available in 10.2.x code version and make sure that it is supported. Even if all the ciphers suites are not supported, some will be supported and that should suffice for your setup to work.