Long exposure timed shutter release
Though not programmable in any way, the Fujifilm USB remote release might do the job:
REMOTE RELEASE RR-80
Perfect stillness is critical for long exposure, telephoto, and
landscape photography. With this remote release, you can
prevent blurring caused by vibrations when you press the
shutter and never lose a priceless photo opportunity.
Or you might opt for a traditional threaded cable release.
Bulb mode appears to have a maximum limit of 60 minutes according to brochure:
|I see you by Phocal|
from Animal eye reflection
|Apocalyptic Sunset by Impact Photo|
from A wheel good photo!
|AU4_6418_BB-35 by DaveInHouston|