The verb weave is usually inflected wove in the past tense and woven in the perfect-tense and past-participial forms. But weaved is more common where weave means to move in and out or sway from side to side. This is the case in all the main varieties of English, though British writers are particularly wont to use weaved for all senses of the word—a growing phenomenon.
Picking up the puck just inside Houston’s blue-line, he weaved around two defenders and then tucked a shot just under the crossbar. [Hamilton Spectator]
Judges weaved in and out between them. [Irish Times]
They wove their passion for gardens and nature into the fabric of America. [Los Angeles Times]
Another stunning type of material discovered by early 20th-century archaeologists was Coptic woven art. [Guardian]