Circles packed with Circle with defined radii

Hello, my teacher did this challenge:

I have 51 circles with radii from 1, 2, 3... 51. I need pack all them inside a big circle with radius 233, without overlap, and I need show it.

I started from some ideias, since the Apollonio Gasket, and from packomania, but I can't figure out how to set the cordinates x,y from center of the circles and they don't overlap!

From the packomania I found the best packing, the radius from big circle is 227, so my packing don't need have all circles touching

This is what I started:

R = 0; 
r = [R]; 
n = 52; %number of circles
for i = 1:n 
        r(i) = R + i; %vector with all radii
end
r(52)= 233; %radius from the container circle

x = randi([-180 180],52,1); % random coordinates x
y = randi([-180 180],52,1); % random coordinates y

    

x(52,1) = 0; % coordinates from  container circle
y(52,1) = 0; % coordinates from  container circle


% transform some circles tangent to the container circle
for i = 1:2:31       
    x(i) = (-(y(i))^2 + r(i)^2 - 2*(r(i)*r(52))+ r(52)^2)^(1/2);
end
for i = 2:2:30
     x(i) = -(-(y(i))^2 + r(i)^2 - 2*(r(i)*r(52))+ r(52)^2)^(1/2);
end

h = circle(x,y,r,n); 
%function for plot circles
%function h = circle(x,y,r,n)
%hold on
%th = 0:pi/50:2*pi;
%for i = 1:n
%xunit = r (i).* cos(th) + x(i);
%yunit = r (i).* sin(th) + y(i);
%h = plot(xunit,yunit);
%end
%hold off