Solution: Switch boarding pass with your mother or farther (obviously depending on your gender) before entering the lounge. Then it will be a TK Elite/*A Gold travelling with his/her spouse and child
On a more serious note; even if the rule would be spouse and children only, I doubt you will barred from entering with your parents - unless you are asked for identification to match your boarding pass when entering the lounge (which has never occured to me) it so easy to circumvent the rule that it makes little sense to rigorously enforce it.