No it isn't.
Code Word material can be Secret or TS level, but is not "Above TS."
There are code words only used when the material is TS.
A "Code Word" is assigned to designate a document or program etc is limited in access to a person holding the clearance for the level of the material, and the proper granted Access to that particular type of material.
Material of this type are known as "Special Compartmented Information," (SCI.)
There are many different SCI's. Access to an SCI type does not grant access to any other and each requires a separate briefing and signing of ones life away.
This is known as being "read on." Access to some SCI's will require you sign a nice little document with fun things like "Life time travel restrictions, and publication permissions."
Even having the proper clearance and SCI access isn't enough. The "Need to Know" which you mentioned still applies.
Bet this post set off the key word computers at No Such Agency.
Thanks for the clarification.