There is no definitive answer to this question as there are no historical records or descriptions that definitively state the heights of either Balram or Krishna.
The Bhagavata Purana, a major Hindu scripture, describes Balram as being strong and tall, but it doesn't provide specific height measurements. Similarly, descriptions of Krishna often emphasize his handsome features and charisma, but not his height.
It's important to note that the epic stories of Krishna and Balram are primarily mythological and religious in nature. Their physical attributes are often symbolic and serve to highlight their divine qualities.
Therefore, it is impossible to say with certainty whether Balram was taller than Krishna based solely on these accounts.