Does the SM-BBR60 bottom bracket come in 68 and 70mm widths?
I did a web search with the model number, and the first hit is to Shimano product page that says that the bottom bracket comes in 68mm and 70mm widths. That, and the fact that your bottom bracket is marked as 70mm, suggests that the bottom bracket indeed comes in two sizes. If you are still unsure, you can use a ruler to measure the actual BB.

The 70mm model is useless to you. If it was sold to you as 68mm model, you should be able to return it. Even if you mistakenly bought the wrong model, you should still be able to replace it.