How can I apply the same keyframe pattern to multiple still images in Adobe Premiere?
Simply create your motion keyframes on your longest clip placed on your timeline (or use a dummy clip which exceeds your longest clip by a few frames or even a second in case you later add an even longer clip/image to the sequence). 

Once you have added you "start" motion position, set the keyframe, then the "end" motion position (I am guessing you will be doing pushes and pulls). 

Select the clip on the sequence. CTRL-C Copy.  Then use the C select tool (arrow) to lasso and select ALL the clips you want to apply the motion effect to. 

Right mouse click the selected clips in the sequence, then click Paste Attributes. 

This will paste the motion from your longest clip to all the clips; with the same relative speed. The keyframe for you "end" motion position on clips shorter than your "longest/dummy" clip will simply not be visible in the effects panel; because the keyframe will be out of range and past the tail of the clip. 

However, the same speed motion will be applied. 

If you are doing more than just a slow push or pull, or are dealing with various image sizes/aspect ratios; you may need to do a few "template moves" and apply the Paste Attribute command to the clips that require that specific move. 

If you need to reset the motion; select the clips on the sequence; right mouse click; remove effects; click motion, click ok. 

I would recommend also:

Run ALL your images through Image Processor using Adobe Bridge; and upres them larger than your sequence size. So if your working in a 1920x1080 workspace; use Tools; PhotoShop; Image Processor -> Resize Image (Then set a "SQUARE VALUE" of 2500 w by 2500 h).  This will box in all your images to meet either an X or Y value of 2500 px depending on the orientation of the image. 

Do not use Scale to Frame Size- as you will lose image quality on any push ins past 100%. Upresing your images using Image Processor will import all your images into PPro, and they will be larger than your sequence; so you have pull room, and push room, to go in and out, without your images pixelating. 

You may want to go higher than 2500 px. I'd recommend 2-3x your horizontal resolution. (So if 1080p, scale them all to roughly 5000/5000).  Photoshops resizing will provide much better results than PPro when moving/pushing in past 100% if your image doesnt meet your 1920 Width (if working in 1080). 

Hope this solves it for you.