There does not appear to be a built in option for this.
You could create a workaroun by adding a custom field to the Run entity, and then populating that field with the value from the Test Case. Then you could display the custom Run field in the Run grid.
You could create a workaroun by adding a custom field to the Run entity, and then populating that field with the value from the Test Case. Then you could display the custom Run field in the Run grid.