You would need nearly an 8’ wide barn door, that’s quite large. Overall, a barn door doesn’t really go with the style in the rest of the kitchen. Perhaps bi-fold doors would be more functional for you?

I would say your kitchen style is really not farmhouse. Is the pantry a walk in or just shelves? I like the idea of bifold. I think even sliding closet doors would be better than a barn door in your kitchen.

There is nothing farmhouse about that kitchen and IMO black waincoting will make that space even darker than it is and barn doors do not work well with wainscoting. The only place you have for the barndoor is to the left of the pantry and it will have to be a double hung one since that size of barndoor will be too big

Love the detail in your cabinetry! DH is about finished with these for our basement. He suggested you could do two sliding panels and start track on the right like recommended above, but with only shelving behind and not a walk-in, not sure I’d go that route. Opening here is 6 feet with 2 36” doors. I’m sure an expert will have an idea for something interesting! GL!

A pocket door is where I'd go for your style and to add function.

You really shouldn't be decorating to highlight a door. I would use a closet door style that matches the other doors in the room and put a great piece of art on the open wall.

You have a bifold door on the closet next to it, so why not another bifold. Also - why are the doors awkward - because they open too much into the room?

Why not have some pullout pantries built to fit in there a much better use of space and if designed properly the whole door pulls out .You kitchen is very formal and unless you are about to redo, keep the doors on the pullouts in the same style and color. IMO pantry doors should always match cabinet doors they are part of the kitchen

The light fixtures are the only thing farmhousey about the space currently. . .so I’m not a pro, but I think the question is, do you really want to take your kitchen farmhousey – in which case, there are lots of things to be done, could be fun! (but expensive)– or, are you really just more concerned with getting the right pantry door with your current space.

A pocket door involves reworking the wall