Cable manufacturers sometimes use the term "enhanced" to describe a cable that is designed to significantly exceed the rated specification. This is often done, as it provides installers with a greater margin, in case of installations which are close to the design limits of a system.
E.g. a cable run is designed to be 90 metres, but the client wants to change the route at the last minute, taking the cable run to 120 metres. If the installer has selected an "enhanced" cable, he stands a reasonable chance of having the system work, without the need for additional redesign or equipment. The "enhanced" nature of a 120 metre cable may make it behave electrically almost identically to a 100 metre cable designed to the specification.
In the case of Cat5, the term "enhanced" was used to name an official standard where the bandwidth of the cable was increased. Cat5 has a signal bandwidth of 100 MHz, whereas Cat5e has a bandwidth of 350 MHz.
There is no official standard for "enhanced category 6" - as such, this cable is purely a manufacturer marketing a cable that is guaranteed to far exceed the specifications of category 6.
There is an official standard of "augmented category 6" or Cat6a. This introduces several new specifications as well as upgrading several existing specifications.
Notably: Cat6a upgrade bandwidth to 500 MHz, where regular Cat6 has 250 MHz; and introduces new specifications for "alien crosstalk" (where signals are transmitted from one data cable in a bundle and appear in a neighboring data cable via an antenna like effect). Cat6 has no specification for alien crosstalk, whereas cat6a places strict limits on it. "Alien crosstalk" is only relevant in certain environments (where bundles of cables are bound together over a long distancs).
The normal way that Cat6a defends against alien crosstalk is by the addition of "bumpers" to the sides of the cable. This prevents the cables from bunching up together tightly (but makes the cables a lot thicker).
10GBase-T is expected to work for up to 37 metres with Cat 6 cables (in a hostile alien environment); and up to 55 metres with Cat 6 cables in a non-hostile alien environment (where cables are not tightly bunched, or run as singles).
Looking at the OP's "enhanced category 6" cable. It has had bandwidth upgraded to 500 MHz (but the specification isn't as tight as the official cat6a specification - so it wouldn't pass testing as Cat6a). Additionally, the linked cable has no specification for "alien crosstalk".
In terms of overall performance, the linked cable would likely be adequate for 10GBase-T ethernet, in a non-hostile alien crosstalk environemnt, for lengths in excess of 55 metres - but lengths up to 100 metres may not be fully supported.