Problem with showing strings on textbox on forms, showing one at a time (async wait) C#

There are many ways you can accomplish this. I'll suggest one:

You could loop through your array and append the text each time to a StringBuilder.

StringBuilder AllText = new StringBuilder(tweets5[0].Text + Environment.NewLine);

for (int i = 1; i < tweets5.Count; i++)
{
    AllText.Append(tweets5[i].Text + Environment.NewLine);
}

TextBox.Text = AllText.ToString();