I would just \end the enumerate before the "intertext" and then resume it again afterwards. With enumitem you can just use
\documentclass{article}
\usepackage{enumitem}
\begin{document}
\begin{enumerate}
\item Item 1
\item Item 2
\end{enumerate}%
Next follows Items 3 to 6
\begin{enumerate}[resume*]
\item Item 3
\item Item 4
\item Item 5
\item Item 6
\end{enumerate}
\end{document}

Thanks to daleif's comment now with resume* instead of resume to also resume the style of the previous enumerate.
The spacing is not too bad here I think, so you might not even have to change that.
Your MWE loads the enumerate package, so you will probably want to switch from enumerate's syntax to enumitem.
\begin{enumerate}[(a)]
\item Item 1
\item Item 2
\end{enumerate}
becomes
\begin{enumerate}[label=(\alph*)]
\item Item 1
\item Item 2
\end{enumerate}
Or you can load enumitem with the shortlabels option, which is intended to provide some compatibility with how the enumerate package works.
Depending on your use cases you may want to look into making these definitions global with \setlist or defining a new list environment with \newlist. For more on that see the enumitem documentation.
If you prefer not to use enumitem, you can have a look at Resuming a list for alternative ways to resume your enumerate.
enumeratebefore the "intertext" andresumeit later (withenumitem), but that could give you too much space around the "intertext". – moewe Jul 06 '18 at 14:48\begin{document} \begin{enumerate} \item Item 1 \item Item 2 \end{enumerate} Next follows Items 3 to 6 \begin{enumerate}[resume] \item Item 3 \item Item 4 \item Item 5 \item Item 6 \end{enumerate} \end{document}`
– moewe Jul 06 '18 at 14:49enumitemis a great package, but it also has its quirks, see the manual for the difference betweenresumeandresume*– daleif Jul 06 '18 at 14:54enumitemto resume your lists, there are other ways: https://tex.stackexchange.com/q/1669/35864 – moewe Jul 06 '18 at 14:58\hspace*{-\leftmargin}Next follows Items 3 to 6also works, although you will need a \parbox for more than one line. – John Kormylo Jul 07 '18 at 13:27