In 2254, when the Seventh Doctor was sent to Skaro by the Time Lords to get back a sacred Time Ring stolen by Davros, he encountered a number of Daleks in unique tank-like casings that had no eyestalk, but instead two round eye-holes in their top section. They were also devoid of sense globes on their base sections and had modified weapons.
These Daleks appeared to act as guardians throughout the Dalek capital, with some spotted patrolling outside by the Doctor while two others stood at the Dalek Emperor to protect their supreme leader. The last two Daleks were destroyed alongside the Emperor in an explosion the Doctor caused with his sonic screwdriver. (GAME: Dalek Attack)
Behind the scenes
The in-universe context presented for the schematics, "The New Daleks" written by John Freeman, was that Cusicks' drawings were Davros' direct blueprints for a new and stronger race of Daleks which may destroy the current one if ever built.
Dalek Attack is the only story as of 2021 to include this Dalek variant, but it does not specify their origin. The game shows the redesigned Daleks as existing on Skaro at a time when Davros is welcomed there by the Dalek Emperor, which is consistent with this offscreen backstory. On the other hand, the redesigned Daleks as they appear in Dalek Attack discarded some details of Cusick's original pitch; most notably, they were intended to be of a dark green or dark blue colour to suggest they were made out of "unusual metals", whereas in the video game they are simply a dull gray.
The game packaging states that enemies in the game include "Super Daleks" and "Elite Battle Daleks". Unlike with other Dalek variants in the game, which Daleks in the game these names refer to is not made clear, making it possible that one of these designations refers to the Redesigned Daleks.