The "barracks" referenced in the book of Acts (21.34, 37; 22.24; 23.10, 16, 32), in connection to Claudius Lysias and his cohort are references to the Tower of Antonia, which Herod the Great rebuilt from a previous structure and named it after Marc Antony.
Titus took his four legions, breached the walls and captured the Herodian Towers and the Antonia Fortress.
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