Adobe Creative Suite Design Standard Version 6.0

Your online account shows which devices are activated with currently supported products. Creative Suite is NOT a supported product. It’s too old. 

In 2012, the CS6 license came with 2 activations. When those are exceeded, you’ll need new solutions. 

Photoshop Elements (3 year license)

https://www.adobe.com/products/photoshop-elements/buy-elements.html

Creative Cloud Annual Photography Plan

https://www.adobe.com/creativecloud/photography/compare-plans.html

Creative Cloud Pro 

https://www.adobe.com/creativecloud/plans.html

Hope that helps. 

the only way to recover an activation is to use a computer (that meets adobe’s secuirty requirements) and that has an activation.  then deactivate.

because you already deactivated we can infer that your computer didn’t meet adobe’s security requirements, https://community.adobe.com/t5/download-install-discussions/activation-limit-reached-for-non-subscription-adobe-desktop-applications/td-p/14804413?linkId=100000376554410

there’s an extremely small chance, you can re-use the computer previously used to deactivate by installing your cs6 (not version 6) on that computer and re-activating.  IF that works, you would then need to update that computer to meet adobe’s requirements.

unfortunately, those requirements are (ahem) nebulous.