I assume the context of this is children?
Let's say for example, you say, "I grew up in Spain," you mean that you were living in Spain from the time you were a child until the time you were an adult. You could also say, "I grew up in the 80s," meaning that that was the decade when you were perhaps 6 years old to 16 years old, for example.
Raised: this is similar. With the same examples, "I was raised in Spain," or "I was raised in the 80s." It is also used by parents like this: "I raised my children in Spain," or "I raised 3 children."