Is it possible to create a custom template for the tag page…

Is it possible to create a custom template for tags that are in a specific category? For example I have a category called Tutorials and am using a specific layout category-tutorials.php for the page here http://sewmamasew-dev.com.php53-3.dfw1-2.websitetestlink.com/category/tutorials/ Above the posts I am displaying a list of tags that are associated with any post in category tutorials. When you click on that tag it is displaying the template tag.php which I created. Problem is it displays tag.php even for tags that are not associated to tutorials which I do not want.

Is it possible to create a tag-______.php file that will display for all tags associated to category tutorials?