Closet design

[Agraco]

Hi. I would like to build a vertical wall design in my closet. On one side, I have a depth of 20 inches with a height of 8 feet. I am interested in things like cabbage, lettuce, peppers....no tomatoes.

The other side of the closet would be the lighting.

What I don't know is how compact I can design the system in order to maximize the yield. I.e. How many 2 inch pots can fit in all this.

The reason why I want to maximize the yield: family of six.

Thank you for any help