General antonyms:
* Verbose
* Prolix
* Rambling
* Wordy
* Circumlocutory
* Diffuse
* Turgid
* Loquacious
* Garrulous
More specific antonyms:
* Detailed (if referring to lack of detail)
* Expansive (if referring to brevity)
* Comprehensive (if referring to a lack of scope)
The best antonym will depend on the specific meaning of "succinct" in your context.