I guess the best way to do that (that does not imply custom coding or visually adapting third-party plugins) is to use the project post type: give a little intro to the project, show the images as thumbs and then give more context. Basically like here.
You can also use JetPacks version of galleries by preventing the Bild theme from overriding the native [gallery] shortcode of WordPress to introduce its gallery layout. You can prevent this by going to the functions.php file in your theme folder, finding the line add_filter('post_gallery', 'mauer_gallery_func', 10, 2); (should be around line 529) and changing it to // add_filter('post_gallery', 'mauer_gallery_func', 10, 2);. However, please mind that making a third-party gallery look good may require a fair amount of styling. I would really go with the first option, as I believe it matches the essence of what you’ve described.