If you want to install both Oracle 11GR2 and 12C, then install in different Oracle Homes.
Please note that when you install Oracle 12C, the service account for that database, will override any other Oracle permissions. So if you're using directories where your table-spaces are living in the same place for each database version, then the permissions for 11G will be overridden by 12c permissions. You'll need to manually adjust the permissions on the file locations respectively.
If you have troubles with listeners, then you'll need to indicate different listeners and their associated Oracle Home.
Please take a look here if you find any troubles with the listeners after having both databases installed.: Oracle 11g and 12c on same windows machine, 12c listener fails to start
If you have any problems then you can always review the trace files on the database, to determine why one isn't starting.
$ORACLE_HOME\virtual\diag\rdbms{SID}{SID}\alert\log.xml
OR
$ORACLE_HOME\virtual\diag\rdbms{SID}{SID}\trace\