Diameter comparison: larger, bigger, higher, greater?

Which adjective do I use with diameter to compare its size? Is there even one correct answer or is it a style choice?

The general diameter of veins is [larger|bigger|higher|greater] than that of arteries.

And how do I find such information by myself the next time?

• I checked Wikipedia which has the following sentence

  For a convex shape in the plane, the diameter is defined to be the largest distance that can be formed between two opposite parallel
  lines tangent to its boundary …

  I could deduce from this, that larger would be the correct one but
  am not sure if this is logical and why it would be larger.

• I then checked Wiktionary and unfortunately the article does not list such an example

• Going by Google result hits

  • "larger diameter" 7’420’000 results
  • `"greater diameter" 1’020’000 results
  • "higher diameter" 852’000 results
  • "bigger diameter" 738’000 results

So after this I would go with larger but am not sure why and if this is the correct or best choice.

Edit: Added also greater as possiblity as per comment. Did not think of that.