Find all values of $k$ so that the graphs of $x^2 + y^2 = 4 + 12x + 6y$ and $x^2 + y^2 = k + 4x + 12y$ intersect.  Enter your answer using interval notation.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find all values of $k$ so that the graphs of $x^2 + y^2 = 4 + 12x + 6y$ and $x^2 + y^2 = k + 4x + 12y$ intersect.  Enter your answer using interval notation.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
[-36,104]
Find all values of $k$ so that the graphs of $x^2 + y^2 = 4 + 12x + 6y$ and $x^2 + y^2 = k + 4x + 12y$ intersect.  Enter your answer using interval notation.
train