Digging myself deeper in documentation I got the following result.
There is a way to group your custom blocks around a given category in Gutenberg, and therefore we have the method block_categories
. So with a filter you can extend the default categories with custom ones.
Here is my example:
add_filter( 'block_categories', function( $categories, $post ) {
return array_merge(
$categories,
array(
array(
'slug' => 'my-slug',
'title' => 'my-title',
),
)
);
}, 10, 2 );
You can find more on this in the provided API.