Which work by Statius is a 12-book epic that tells the story of Antigone's brothers' feud?

The work by Statius that is a 12-book epic focusing on the feud between the brothers of Antigone, Eteocles and Polynices, is indeed "Thebaid." This epic draws from the mythological narrative surrounding the conflict and the tragic consequences that ensue from the brothers' rivalry for power over Thebes. Statius intricately weaves themes of fate, familial duty, divine intervention, and the tragic nature of human choices throughout the poem, showcasing his dramatic flair and deep engagement with mythological sources.

"Thebaid" stands out as a significant contribution to Latin literature and is recognized for its vivid imagery and complex characterization. This epic not only recounts the historical and mythological elements but also reflects on moral and philosophical themes, making it an important work within the broader context of epic poetry.

The other choices do not encompass the same themes or narrative focus. "Achilleid" centers on Achilles and his story in the Trojan War, "Punica" discusses the Punic Wars, and "Historiae" offers historical accounts rather than epic storytelling related to Antigone's family. Thus, "Thebaid" is appropriately identified as the correct answer.