Since Instagram’s images are much lower resolution and smaller than those of other providers (and since for the most part the images are square), unlike Google Photos or SmugMug there is currently no provision to set a “tile size” for the Justified Grid, Masonry and Mosaic layouts.
Note that Instagram only gives standard a few standard sizes – thumbnail (150px), low resolution (306px or 320px), standard resolution (612px or 640px), and the 1080px. Any image you pull will be resized from the size immediately bigger. Photonic will scale up a smaller image in very rare cases, and will prefer to scale down a bigger image. This is to avoid pixelation of the photos.
Also note that Photonic’s scaling is always via CSS since it is never hosting your images – true scaling without CSS requires the scaling to happen on the server side, not the browser. Google Photos and SmugMug can do this for any of the images they host, as can Jetpack for WP-hosted images. Instagram most certainly cannot support server side scaling, so the scaling will always happen on the browser.
That being said, on your page you don’t really need to pull the full-size images using the Masonry layout – you could have done just as well with the square thumbnails, setting a size of 200 for the thumbnail. This would have made Photonic pull the “low resolution” photo (320px large) and scale it to 200px. Your main image could still point to the 1080px photo and that is what would show up in a lightbox. This way the larger images will only be requested if the lightbox is clicked.