break a table on two columns

While I was writing my question, I came out with the solution. If I understood correctly, it is encouraged for user of this (rather awesome) website to answer their own question, therefore, even if I think that my question is quite trivial, here I go:

The minipage construct is the solution: it just needs to be within the table environment. The correct code to achieve what I wished is:

\begin{table}
\begin{minipage}[t]{0.5\linewidth}
    \begin{tabular}[t]{llp{0.1cm}p{0.1cm}p{0.1cm}p{0.1cm}lp{3cm}}
    \toprule
& & \multicolumn{4}{c}{Parameter} & & \\
ID & Schema & F & E & P & N & \multicolumn{2}{l}{Cluster}\\
    \midrule
1 & A & H & H & H & H & 1 & High performer\\
2 & B & H & H & H & L & 2 & Cash provider\\
3 & C & H & H & L & H & 3 & Alternative means of financing\\
4 & D & H & H & L & L & 4 & Doubtful case\\
5 & E & H & L & H & H & 5 & Low performer\\
6 & F & H & L & H & L & 5 & Low performer\\
7 & G & H & L & L & H & 6 & Possible AMF\\
8 & H & H & L & L & L & 5 & Low performer\\
    \bottomrule
    \end{tabular}%
\end{minipage}
\begin{minipage}[t]{0.5\linewidth}
    \begin{tabular}[t]{llp{0.1cm}p{0.1cm}p{0.1cm}p{0.1cm}lp{3cm}}
    \toprule
& & \multicolumn{4}{c}{Parameter} & & \\
ID & Schema & F & E & P & N & \multicolumn{2}{l}{Cluster}\\
    \midrule
9 & I & L & H & H & H & 7 & Cash flow optimization\\
10 & L & L & H & H & L & 7 & Cash flow optimization\\
11 & M & L & H & L & H & 8 & SCF needy\\
12 & N & L & H & L & L & 7 & Cash flow optimization\\
13 & O & L & L & H & H & 4 & Doubtful case\\
14 & P & L & L & H & L & 9 & Potential cash provider\\
15 & Q & L & L & L & H & 5 & Low performer\\
16 & R & L & L & L & L & 5 & Low performer\\
    \bottomrule
    \end{tabular}%
\end{minipage}
\caption{caption}
\end{table}

Of course small adjustments to properly fit the text are needed, but it works.