  The minimum storage rack-aware regenerating (MSRR) code is a variation of
regenerating codes that achieves the optimal repair bandwidth for a single node
failure in the rack-aware model. The authors in~\cite{Chen-Barg2019}
and~\cite{Zhou-Zhang2021} provided explicit constructions of MSRR codes for all
parameters to repair a single failed node. This paper generalizes the results
in~\cite{Chen-Barg2019} to the case of multiple node failures. We propose a
class of MDS array codes and scalar Reed-Solomon (RS) codes, and show that
these codes have optimal repair bandwidth and error resilient capability for
multiple node failures in the rack-aware storage model. Besides, our codes keep
the same access level as the low-access constructions in~\cite{Chen-Barg2019}
and~\cite{Zhou-Zhang2021}.
