Error 524 of timeout in Webservice in C #

I'm using a Web Service call that reads emails, when reading 240 emails it works perfect, but when it's more than 240 emails, I get the following error:

  

The remote server returned an unexpected response: (524) Origin Time-out.

In the client's web.config it is defined as follows:

<system.serviceModel>
    <bindings>
        <basicHttpBinding>
            <binding name="ServicioWebLecturaCorreoSoap" />
        </basicHttpBinding>
    </bindings>
    <client>
        <endpoint address="http://webservice.prueba.cl/ServicioWeb.asmx"
            binding="basicHttpBinding" bindingConfiguration="ServicioWebLecturaCorreoSoap"
            contract="ServicioWebClienteLeeCorreo.ServicioWebLecturaCorreoSoap"
            name="ServicioWebLecturaCorreoSoap" />
    </client>
</system.serviceModel>

In the web.config of the Web Service it is:

<system.serviceModel>
    <bindings>
        <basicHttpBinding>

           <binding name="ServicioWebLecturaCorreoSoap" closeTimeout="00:30:00"
      openTimeout="00:30:00" receiveTimeout="00:30:00" sendTimeout="00:30:00"
      allowCookies="false" bypassProxyOnLocal="false" hostNameComparisonMode="StrongWildcard"
      maxBufferSize="2147483647" maxBufferPoolSize="2147483647" maxReceivedMessageSize="2147483647"
      messageEncoding="Text" textEncoding="utf-8" transferMode="Buffered"
      useDefaultWebProxy="true">
      <readerQuotas maxDepth="2147483647" maxStringContentLength="2147483647" maxArrayLength="2147483647"
        maxBytesPerRead="2147483647" maxNameTableCharCount="2147483647" />
      <security mode="None">
        <transport clientCredentialType="None" proxyCredentialType="None"
          realm="" />
        <message clientCredentialType="UserName" algorithmSuite="Default" />
      </security>
    </binding>

        </basicHttpBinding>
    </bindings>

</system.serviceModel>

From the client I call it like this:

string stringconeccion = "bla bla bla";
ServicioWebClienteLeeCorreo.ServicioWebLecturaCorreoSoapClient servicio = new ServicioWebClienteLeeCorreo.ServicioWebLecturaCorreoSoapClient();
lbMensaje.Text = "Buscando ...";
var source = new BindingSource();
var list = servicio.Obtieneadjunto(txtHostCorreo.Text, txtUsuario.Text, txtPassword.Text, stringconeccion);

The error I get when I use the Web Service production site, but when I use one from my computer (localhost), there's no problem.

I would like to know how to repair the error, what parameter should I place or perhaps increase some range of timeout . I would appreciate your help.