  Let $\text{Homeo}_{+}(\mathbb{S}^1)$ denote the group of orientation
preserving homeomorphisms of the circle $\mathbb{S}^1$. A subgroup $G$ of
$\text{Homeo}_{+}(\mathbb{S}^1)$ is tightly transitive if it is topologically
transitive and no subgroup $H$ of $G$ with $[G: H]=\infty$ has this property;
is almost minimal if it has at most countably many nontransitive points. In the
paper, we determine all the topological conjugation classes of tightly
transitive and almost minimal subgroups of $\text{Homeo}_{+}(\mathbb{S}^1)$
which are isomorphic to $\mathbb{Z}^n$ for any integer $n\geq 2$.
