System.Data.ConstraintException error visual basic

I am a newbie
Using visual studio  and  visual basic form
I am trying to copy a selected row or rows from Datagridview and paste it to the same datagridview.
I can do this with no problem when the table DOES NOT have a primary key.
I now have a table with a primary key and get an System.Data.ConstraintException error "Column "id" is constrained to be unique. Value "1" is already present.
I assume I have to add 1 to the last record number but don't know how to do this or where to put in my code.

here is my code with help courtesy of Chinmay Patel

 Dim table = MyDataSet.MyTable

        For index = 0 To DataGridView1.SelectedRows.Count - 1

            Dim row As DataRow
            row = CType(DataGridView1.SelectedRows(index).DataBoundItem, DataRowView).Row

            Dim newRow As DataRow
            newRow = table.NewRow

            newRow.ItemArray = row.ItemArray

            table.Rows.Add(newRow)
        Next

I appreciate all help. I have spent days trying to figure out how to overcome this. Explanation and code fix would be highly appreciated.