How to create a random graph with parameters close to given ones?

I have a list of parameters of a graph. Here they are:

number of nodes: 1882
radius: 15
diameter: 28
average clustering coefficient: 0.005066798238955518
average shortest path length: 11.748410823170731
number of connected components: 168

I also have empirical CDF of degree distribution:

'degree_cdf': [[0,
   1,
   2,
   3,
   4,
   5,
   6,
   7,
   8,
   9,
   10,
   11,
   12,
   13,
   14,
   15,
   16,
   17,
   19,
   21,
   24,
   46],
  [0.0,
   0.6902231668437833,
   0.8517534537725824,
   0.9086078639744952,
   0.9378320935175345,
   0.9516471838469713,
   0.9654622741764081,
   0.9723698193411264,
   0.9776833156216791,
   0.9808714133900106,
   0.9845908607863975,
   0.9888416578108395,
   0.9893730074388948,
   0.9925611052072264,
   0.9936238044633369,
   0.9952178533475027,
   0.9957492029755579,
   0.9968119022316685,
   0.997874601487779,
   0.9989373007438895,
   0.9994686503719448,
   1.0]]

I need to generate a random graph with parameters maximally close to those ones above. How could I define a corresponding graph? Is there any functions in networkx which would take any of those parameters as input data and create a corresponding graph?