I understand that you are looking for tested memory that runs at 2400MHz.
In regards to your question, Intel(R) does not validate the usage of that frequency on the Intel® Core™ i7-3770 Processor as it is designed to operate up to 1600MHz.
Please note that running the processor at a higher frequency will make it run outside of factory specifications.
I have an intel motherboard DZ77RE-75K + 2x4GB 2400MHz + memory Mushking core i 7 3770 not K version, but does not support XMP.
that supports 2400MHz processor if? not supposed to be so expensive and the latest generation of the 3770 should work with XMP?
If configuring the memory manually to match the native memory settings or selecting an XMP profile, the processor is immediately over clocked and it is expected to have problems.
Even though Intel makes unlocked and Extreme Series processors that are robust enough to handle customizations, Intel doesn't recommend over clocking any of their internal components (memory, video or CPU) and there is no warranty support for that practice. Using memory out of specifications will decrease the lifetime of the processor and it could generate processor damage.