Male gatherings for Quraan and dhikr

If it is permissible for males to gather at a place on one or more occasions e.g. Masjid, Madrassah or other venue for a weekend to recite the Qur’an; the purpose being to make complete recitation of the Qur’an easy for people, who might not otherwise recite the Qur’an., is it permissible to have a requirement of the gathering that one may only leave when they have completed recitation of the Qur’an?
Being a student of the Deen, please enlighten with the necessary Shar’i proofs/evidence as to whether such gatherings are permissible, bearing in mind the intention & secondly taking in to account the stipulation mentioned in point (2) above.
NB: My concern regarding this issue is that a gathering of this nature begins to be regarded as necessary or obligatory, which if my understanding is correct, would then make such a gathering impermissible.
Please clarify.