Her siblings have brought a total of 4 siblings * 2 suitcases each = <<4*2=8>>8 suitcases.
Her parents have brought 2 parents * 3 suitcases each = <<2*3=6>>6 suitcases.
This is a total of 8 + 6 = <<8+6=14>>14 suitcases.
#### 14