You're not telling us something here. The Federal Direct Loans (~5-6% interest) do not take into account EFC or credit history at the graduate level and will cover up to an aggregate amount of $224,000 with a maximum of $40,500 per year. Federal PLUS Loans (~6-7% interest) do not take into account EFC but do take into account credit history. However they have no aggregate limit for borrowing.
I'm assuming with no other information you have borrowed over the $224,000 in Federal Direct Loans for previous education (undergraduate, graduate degrees) and you are attempting to take out Federal PLUS Loans? If not, you should not be taking out loans from other sources or Federal PLUS Loans. If not, have you committed a crime that disqualifies you from certain types of aid?
Even if you have not taken over the aggregate limit of $224,000 in Federal Direct Loans, if you knew the tuition was over the $40,500 aggregate limit per year you should have prepared for this knowing you would have to apply for Federal PLUS loans. If you knew you were coming up on your Federal Direct aggregate loan limit and you had adverse credit history you should have prepared for this.
You need to read your student financial aid handbook, get in touch with the schools financial aid advisor, and/or contact an independent financial advisor on your own. I realize this is in part a failure of your school to educate you properly on the financial aid process, but it's unfortunate that there is such a large amount of money at play and very little understanding of how it is being distributed.