How to have two table side by side in a two column paper?

Question

I have a two column paper. In one specific page, I intend to have two tables side by side, with no gap (or a very tiny gap) in between. Following image is what I am looking for:

I have used different approaches, but all were rendered in a scrambled way. For example:

\begin{table*}
\begin{minipage}[b]{\linewidth}
 \centering
 \begin{tabular}{|| *6{c} ||}
 % some content
 \end{tabular}
 \end{minipage}
 \qquad
 \begin{minipage}[b]{\linewidth}
  \centering
 \begin{tabular}{|| *5{c} ||}
 % some content
 \end{tabular}
 \end{minipage}
\end{table*}

Answer 1

I was working on something similar to what Fran has just posted. Same basic idea with some embellishments. The missing piece is to connect the vertical lines through the horizontal rules.

\documentclass{article}

\usepackage[table]{xcolor}

\begin{document}

\begin{table}
\setlength\doublerulesep{0.5pt}
\begin{tabular}{|| >{\sffamily}c || *5{>{\sffamily}c} || *5{>{\sffamily}c} ||}
\multicolumn{1}{c}{}& \multicolumn{5}{c}{\sffamily Table 1} & \multicolumn{5}{c}{\sffamily Table 1}\\
\hline\hline
\rowcolor{gray!25} No. & C1 & C2 & C3 & C4 & C5 & C1 & C2 & C3 & C4 & C5 \\
\hline\hline
1  & & & & & & & & & &  \\ \hline
2  & & & & & & & & & &  \\ \hline
3  & & & & & & & & & &  \\ \hline
4  & & & & & & & & & &  \\ \hline
5  & & & & & & & & & &  \\
\hline\hline
 \end{tabular}
\end{table}

\end{document} 

Answer 2

Unnecessarily complicated:

\documentclass{article}
\begin{document}
\begin{table*}
 \centering
 \begin{tabular}{|| *6{c} ||}
 x &  x & x & x & x & x \\
 \end{tabular}%
 \begin{tabular}{*5{c} ||}
 x & x & x & x & x \\
 \end{tabular}
\end{table*}
\end{document}

But even easier: two tables side by side, with no gap, is one table.

\documentclass{article}
\begin{document}
\begin{table*}
 \centering
 \begin{tabular}{|| *6{c} || *5{c} ||}
 x & x & x & x & x & x & x & x & x & x & x \\
 \end{tabular}
\end{table*}
\end{document}