There is no plural indefinite article in English, and this is a situation that would take an indefinite article.
I have a large nose.
I have small ears.
I have ten fingers.
I have a broken leg.
Why the indefinite article? Here's the OED definition of a:
Used in an indefinite noun phrase referring to something not specifically identified (and, frequently, mentioned for the first time) but treated as one of a class: one, some, any (the oneness, or indefiniteness, being implied rather than asserted).
Emphasis mine. Roughly speaking, there are lots of large noses in the world, and the speaker in my first example is stating that they have one of them.
In certain contexts, the definite article might be appropriate, as Tᴚoɯɐuo mentions: when the characteristic being referred to is the only one in the set of people under discussion, such as when looking at photograph, or identifying a person in a room.
[Looking at a photograph] Q: Which are you? A: I'm the one with the large nose.
This only works because the answerer is the only person in the photograph with a large nose.
What if the photograph had several people with large noses, and several people with red hats, but the answerer was the only person with both? Indefinite articles.
A: I'm the one with a large nose and a red hat.
And if these were plural, we would use the plural indefinite if it existed, but since it does not, we use nothing:
A: I'm the one with a large nose and brown eyes.
We've lost the boxes of eyes for assembling the dragon statues - has anyone seen them?.I have the brown eyes, but I haven't seen the box of blue ones. – J... Jan 07 '19 at 18:28I have the [boxes of] brown eyes...– travisw Jan 07 '19 at 18:56I have the brown eyesis a valid, grammatical sentence that doesn't need to refer to a specific pair of eyes, but could refer to any specific collection of eyes. In my example the "brown eyes" can refer to either the box with a number of brown eyes in it, or it could refer to just the collection of eyes which are in the box. In any case, just to make the point that there are plenty of other ways in whichI have the brown eyescould be grammatical. – J... Jan 07 '19 at 19:23In this room there are four blue eyes, one green eye and two brown eyes. Which ones do you have?I have the brown eyes.Bonus riddle: There's four people and one of the blue eyed people has lost an eye. How come the eyes add up the way the do? – Kapten-N Jan 08 '19 at 14:33