Always skip the question "GezeigteNamen". It should never be asked. Ensure it is defined as a multiple response select question type and it uses the parent list "Namen".
Now try placing this Perl Script listed below in to the footer of an appropriate question (one that is asked after GezeigteNamen and is not skipped over) ...
[%Begin Unverified Perl
my $i=1;
for($i=1; $i<=84; $i++)
{
if (LISTHASPARENTMEMBER("NamenAuswahl",$i))
{
SETVALUE("GezeigteNamen_".$i,1);
}
}
End Unverified%]
This script should now populate the question "GezeigteNamen" once the question in which the script lives has been submitted.
I encourage you to run some tests.