Tang housing advice

[gmann]

Noob Tang question. Now that I finally have a big enough tank, I was hoping to add some tangs. Based on research online I need to avoid same colors and genes or add them at the same time and have a large enough tank to reduce aggression. So my question is, given the wish list below, will I be alright?

I currently have a 72 x 30 x 24, and currently have a naso. I would like to add the following:

1 x goldrim or Achilles
1 x orange shoulder or lieutenant
1 x yellow

adding the Yellow would not be as important to me, but I would like to add the first two to go along with my naso as he is needed to eat my bbl algea.

current stock is:

wrasses x 5
anthias x 6
naso x 1

will be adding more wrasses soon, and a few more anthias.

Thanks in advance.