A D♯ Major 6 (D♯6) chord contains the notes D#, G, C. It is built from the major 6th formula 1 - 3 - 6, with D# as the root.
Is there an easier way to play D♯6?
This voicing is a stretch, and the honest answer is that the A-string moveable 6th shape used for A♯6 and B6 is more comfortable at this position on the neck. It's worth learning this one anyway, because the ascending layout puts the 6th on top where it sings, which is exactly what you want when the chord ends a phrase.