Yes it does, but it is not a „real” neuter like in the Slavic languages or German, in fact it is just a mix of both genders. Singular neuter nouns behave like masculine ones and in the plural they behave like feminine nouns.
un tunel - două tuneluri (a tunnel - two tunnels)
Going off on a bit of a tangent here, if you're talking about a group where there are both masculine and feminine members/objects (e.g. a class in school with boys and girls) would you use the masculine (Ei), feminine (Ele) or something else?
I recall that in French if you have a group with at least one masculine member/object then you default to the masculine.
I'd say it's a mix of both. Nouns describing living things take their gender (i.e. vixen is feminine but fox is masculine) and others can be feminine, masculine or neutral. We have rules for some (i.e. months of the year & numbers are masculine; days of the week & times of the day are feminine; some sports & senses are neutral), with some exceptions, and you will have to pick them up as you go.
4 months late..but! For anyone trying to associate the sounds with something, these are the cues that an American colleague pointed out to me. Since I'm a native speaker, they just come naturally so it's hard to describe them.
ă - the sound you make with your mouth open when you are trying to remember something and it slips your mind. "What was his name? ăăăăăă..Gary.. or.. ăăă .. Jerry?" .
â - the actual sound of getting punched in the stomach.
Also, this link can help : https://youtu.be/zwuzvanVG40?t=17