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Tumuhimbise, who heads local pressure group The Alternative Movement and an online media platform Alternative Digitalk TV, was due to launch a book critical of President Yoweri Museveni on March 30.
The 36-year-old was among nine journalists arrested for offensive communication a week ago.
Tumuhimbise and his colleagues were reportedly bundled into a van by armed security personnel last week, with Kiiza alleging that police also confiscated phones, laptops, recorders and cameras from the media outlet.