The podcast told him that the Harry Potter series — the books that he always turned to for solace when he was angry or stressed or in need of an escape — could be a source of spiritual sustenance. “I feel like I’m born again,” he said. On Tuesday night, Kennedy came to an event space at Sixth & I Historic Synagogue in the District with hundreds of fellow fans of the podcast, who have found a surprising spirituality in the magical fiction series, which turns 20 years old this year. Hosted by Harvard Divinity School graduates Casper ter Kuile and Vanessa Zoltan, the podcast “Harry Potter and the Sacred Text” became the number-two podcast in America on iTunes soon after it debuted last summer. It has inspired face-to-face Potter text reading groups, akin to Bible study more than book club, in cities across the country. In Harvard Square, ter Kuile and Zoltan host a weekly church-like service for the secular focused on a Potter text’s meaning.