A couple of questions?
1. Do you just downtune just the E string?
If so you can get a 115 or a 120 and drop to D with no problem. A slight neck adjustment may be necessary {straighten}. I know guys who use a 120 for low B tuning with no problems so going up two whole steps to D should be great. In fact, you could probably get away with a 115 guage.
2. If you are downtuning the whole bass to D tuning D,G,C,A, you would definitly need an entire set of heavier strings and a complete set-up. GHS boomers come in a 55-115 set and D'Addario comes in a 55-110 set,

or you could buy a light 5 string set and just ditch the G string,

I don't know if you are drop tuning just the E string, or the whole bass to drop D. If it's just the E all you need is a single, 115 to 120 would be fine. I hope this helps. God Bless!
