  In this paper we give a very simple proof of the existence and plenitude of
Runge tubes in $\mathbb C^n$ $(n>1)$ and, more generally, in Stein manifolds
with the density property. We show in particular that for any algebraic
submanifold $A$ of codimension at least two in a complex Euclidean space
$\mathbb C^n$, the normal bundle of $A$ in $\mathbb C^n$ admits a holomorphic
embedding onto a Runge domain in $\mathbb C^n$ which agrees with the inclusion
map $A\hookrightarrow \mathbb C^n$ on the zero section.
