Hello moderntimes,
In the file wp-content/themes/responsive/includes/functions.php, edit line 201 and change it to:
‘show_home’ => false,
Alternatively, if you create your own menu using the WordPress built-in menu manager (http://codex.wordpress.org/WordPress_Menu_User_Guide) you should be able to create your own menu and choose to include the Home menu or remove it.
If this works out for you please let me know.
I had the same problem and it did not work out to create my own menyu. However, following your tip and changing in the functions php worked out fine. In the current version of the theme it is located at wp-content/themes/responsive/core/includes/function.php and its on line 256.