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When we're wanting to treat a bunch of columns as members of the same "thing" in Tableau - like variables in a list, months in a year, questions on a survey, etc. in general the easiest solution is to pivot the data to have a row for each member, then we have a dimension for the variables, months, or questions that we can use as a filter, in calculated fields, as a discrete pill on Rows/Columns, etc. You would use Tableau's Pivot feature (which is not available for all sources), the Excel Add-in, or do the pivot outside of Tableau.
The only other alternative would be to use the parameter list that you've started. You can make that creation a bit faster by making a list of all the values and then using the Paste from Clipboard option in the Create Parameter window.