A shroud for surrounding a portion of a turbine flow path having improved cooling and durability is disclosed. The shroud includes a plurality of generally axial cooling holes spaced a substantially equal distance apart and a plurality of generally circumferential cooling holes oriented generally perpendicular to the generally axial cooling holes. The generally circumferentially cooling holes are spaced a non-uniform distance apart so as to provide cooling to selected portions of shroud sidewalls to lower shroud operating temperatures and improve shroud durability.