%%
%% The LaTeX Companion, 3ed
%%
%% Example 4-1-28 on page I-276 in "Hooking in code".
%%
%% Copyright (C) 2022 Frank Mittelbach
%%
%% It may be distributed and/or modified under the conditions
%% of the LaTeX Project Public License, either version 1.3c
%% of this license or (at your option) any later version.
%%
%% See https://www.latex-project.org/lppl.txt for details.
%%

\documentclass{tlc3exa}
\pagestyle{empty}
\setcounter{page}{6}
\setlength\textwidth{135.0pt}
%StartShownPreambleCommands
\usepackage{enumitem}    \newlist{Quote}{itemize}{4}
\setlist[Quote]{label=,rightmargin=\leftmargin,
    first=\item\makebox[0pt][r]{``}\ignorespaces,
    after=\unskip\makebox[0pt][l]{''}}
%StopShownPreambleCommands

\begin{document}
\noindent \ldots\ some text before to indicate the margins.
\begin{Quote}
   Some quoted text, followed by more quoted text.
\end{Quote}
\ldots\ and some text following \ldots
\end{document}