  We construct Sugawara operators for the quantum affine algebra of type $A$ in
an explicit form. The operators are associated with primitive idempotents of
the Hecke algebra and parameterized by Young diagrams. This generalizes a
previous construction (2016) where one-column diagrams were considered. We
calculate the Harish-Chandra images of the Sugawara operators and identify them
with the eigenvalues of the operators acting in the $q$-deformed Wakimoto
modules.
