Java 7 will fail or succeed depending on exactly how aggressively you addressed Logjam. If the Diffie-Hellman key lower bound is exactly 1024 (which is what e.g. Chrome picked), it will work. If it’s 1025 or higher, however, you need Java 8 according to https://docs.oracle.com/javase/8/docs/technotes/guides/security/enhancements-8.html