Matching impedance network for an LC ladder network
Since each LC is loaded by smaller reactive load, each pole shifts after each successive “step” in the LC ladder.  This results in a 6dB swing in the transfer function or +/-3dB from pole to pole till you get to the output.

I chose Falstad’s filter simulator since LC Ladder is a defined circuit, then stretched the y axis spectrum slider right THEN the frequency response so that I got near your values.

You can see the results here.

What you really want is a smooth low Q, flat group delay, Bessel flat response or a steep Chebychev maximally flat response.  These 2 types which can be adjusted with more specs like 3dB flat or 6dB flat and degree of flatness unlike the LC ladder which has large de-tuned ripples.  Chebychev staggers the peaks too but in a way that the ripple is minimized to any amount like 1dB or 0.1dB which trades off steepness of the skirt.  There are many more options like Cauer Elliptical, raised cosine, Gaussian linear phase, etc.