Please, what is wrong with the sentence?

As a title "Beyond the Neon Lights" needs to be either enclosed in quotation marks or italized, depending on the nature of the work and the style guide you have been told to follow.

"over a period of twenty-four hours" could be made more concise --> "over a twenty-four-hour period."

"isightful" should be "insightful"

I pause over the use of "character profile". You have linked it directly to "district" which is a place and not a character. Yes, places can be said to have character, but the phrase "character profile" makes me think of people. Perhaps "gives insightful character profiles of this sleepless district's residents".  If "Beyod the Neon Lights" is more about the place than its residents, then perhaps "gives an insightful profile of this ..."

No comma is required after insightful.

Added - If this is a review and it is important to say the type of writing being reviewed -- a character profile -- an alternative might be

"Beyond the Neon Lights" is an insightful character profile that chronicles the residents of this sleepless district over a twenty-four-hour period.