Two Diamonds for Both Majors
This is sort of an advance Michaels bid.  You open 2 to show a hand with both majors.  Generally it shows a hand with 5-5 in the majors and 10 or more HCP, but with 6-5 you might have only 9 points, and if you are lucky enough to hold 6-6 in the majors, you only need 8 points.   Watch the vulnerability, though.

If you are at the low end of the point count, make sure all of your points are in your two suits.  A doubleton Qx or singleton king in the minors and a minimum amount of points in your two suits is not going to help much.



Responder's Bids

Responder Bids a Major

Responses at the two level and the four level are non-forcing while jump responses at the three level are invitational.

Responder Bids a Minor

I don't think that responding with a minor should be natural.  Perhaps the best use of such a bid is to explore for a slam in one of the major suits or in notrump.

I suggest that bidding either 3 or 3 should indicate slam interest in the corresponding major - bidding clubs shows heart interest and bidding diamonds shows spade interest.

What should the opening bidder do?
With a minimum hand, which might be most of the time, opener should simply rebid 3NT and let responder decide.  Any other rebid should show extra values and a willingness to cooperate in the slam try.

Responder Bids Notrump

Oops.  You've stumbled into a misfit.  Pass.
Partner might bid 2NT or 3NT, but you haven't anything else to say.  You've already described your hand, so partner is in charge.