Thank you for your inquiry.
Double sided carpet tape stick to concrete.
This is a single sided seam tape that will not affix to a finished surface.
This is a double sided tape and will perform well if you want to adhere the runner to an unfinished surface such as concrete.
However that would be harder to remove from the floor when you decide to change the carpet it s very very strong.
There is a type of very strong double sided tape that you can find at a carpet supply house.
Concrete and concrete blocks are not designed to bond with tape.
Attaching this tape to a finished surface is not recommended.
Shurtape df 545 double sided carpet and duct tape sticks to hardwood concrete tile and more natural with blue liner 48mm x 33 meters 1 roll 152496.
If you plan to have the runner simply attached together you may want to consider the the roberts indoor pressure sensitive carpet seaming tape roll model 50 305.
If it were me i would use a product called spray tack also found at carpet supply shop.
However if you need to use tape on your concrete blocks choose a tape that is designed for concrete and will not interfere with other plans for your concrete blocks.