The lens should not be the problem.
First thing you want to do, take any photos off the card that you have, and put it in the camera and format it. But don't do the light format, you want the deep and all encompassing one (you can toggle it by clicking the trashcan button)
That is the first step for any memory card if it isn't working correctly, pretty much always.
If you are trying to shoot as many photos as you can (like the paparazzi guys shooting 100 million photos a second) the first thing you need to do is adjust your "drive: to the setting that has multiple frames with the H next to it, that is the fastest photos per second you can get. See the video at the bottom of this post if you don't get what i am saying.
The 60D can only write at like 21-22mb/s but should have a burst capability of 6ish photos per second, and should be able to take 34 JPEG photos or 15 RAW photos in a burst. Because of the minimal write speed, most cards if they are even remotely new shouldnt be a problem, if you have the worlds oldest SD card, maybe you should invest in something new. SanDisk sells the 30mb/s cards, which is the lowest speed i would go with that camera, for super cheap.
The name is Eli
Canon 7D Mk2 | Canon 60D
8mm f3.5 | 10-18mm f4.5-5.6 STM | 18-55mm f3.5-5.6 IS | 50mm f1.8 | Pentax SMC M42 50mm f1.4 | 70-200mm f4L