plotting a family of curves

So I have a code that is something like this:

I'll first show what the code that produces the original picture looks like and then I'll ask about my second code and the picture that I WANT it to make, but am having troubles trying to get MATLAB to make it (which is what I would like to get help in regards to).

for c0=2:5
  parfor i=1:16
     ChangeParameter(i)=i*43.5;
     Optimum(i)=somefunction(c0,ChangeParameter(i),c2,e1,e2,p,pi,N);
  end
end

And that makes this picture:

Now, what I want to do is something like this:

for c0=2:5
  for k=1:6
    e2(k)=k*0.001;
    for j=1:6
      e1(j)=j*0.001;
      parfor i=1:16
        ChangeParameter(i)=i*43.5;
        Optimum(i,j,k)=somefunction(c0,ChangeParameter(i),c2,e1(j),e2(k),p,pi,N);
      end
    end
  end
end

(Basically to create a family of curves)

And I want it to make it to make a plot like this:

How would I go about doing that?

The way that I have it, the error message that it says is that the data cannot have more than 2 dimensions, which I get, but what I don't get is I don't want to have to write out the data for each of the plots as a .mat file only for me to then re-assemble it into a single plot that shows the variation of the e1 and e2 variables/parameters in order to produce a plot that shows the family of curves.

What would be the best way for me to do that?

As always, your help is greatly appreciated.

Thank you.