  We construct a new class of $\text{AdS}_3\times $S$^3\times $M$_4$ solutions
of massive Type IIA supergravity with $(0,4)$ supersymmetries and SU(3)
structure. We study in detail two subclasses of these solutions. The first
subclass is when M$_4=$S$^2\times \Sigma_2$, with $\Sigma_2$ a 2d Riemann
surface, and the geometry is foliated over the $\Sigma_2$. We interpret these
solutions as duals to surface defect CFTs within the 6d $(1,0)$ CFTs dual to
the $\text{AdS}_7\times$S$^2\times I$ solutions of massive IIA supergravity.
The second subclass is when M$_4=\mathbb{T}^3\times I$ and the geometry is
foliated over the interval. In this case supersymmetry is enhanced to $(4,4)$
in the massless limit, and the solutions are holographically dual to $(4,4)$
CFTs living in two dimensional D2-NS5-D4 Hanany-Witten brane set-ups. In turn,
in the massive case the solutions find an interpretation as D2-D4 branes
embedded in Type I' string theory. We construct explicit quiver gauge theories
from the different brane set-ups that flow in the IR to the 2d dual CFTs dual
to the solutions. We check the validity of our proposals with the matching
between the field theory and holographic central charges.
