Network[{Node[1, NodePosition -> {163.470032, 167.139801}, 
    NodeLabelAngle -> 5.756662000000001], 
   Node[2, NodePosition -> {93.259583, 288.747894}, 
    NodeLabelAngle -> 5.774651000000001], 
   Node[3, NodePosition -> {233.680511, 288.747864}, 
    NodeLabelAngle -> 5.774651000000001], 
   Node[4, NodePosition -> {303.890991, 167.139801}, 
    NodeLabelAngle -> 5.774651000000001], 
   Node[5, NodePosition -> {23.049156, 167.139771}, 
    NodeLabelAngle -> 5.774651000000001], 
   Node[6, NodePosition -> {233.680542, 45.53167700000001}, 
    NodeLabelAngle -> 5.774651000000001], 
   Node[7, NodePosition -> {93.259567, 45.53167700000001}, 
    NodeLabelAngle -> 5.774651000000001], 
   Node[8, NodePosition -> {125.050507, 189.321335}, 
    NodeLabelAngle -> 5.756662000000001], 
   Node[9, NodePosition -> {201.889557, 189.32132}, 
    NodeLabelAngle -> 5.756662000000001], 
   Node[10, NodePosition -> {163.470032, 122.776779}, 
    NodeLabelAngle -> 5.756662000000001], 
   Arc[{3, 2}, ArcBezierPath -> 
     {{-0.377174, -0.344719}, {0.377174, -0.344719}}, 
    ArcCircleHeight -> -0.226284, ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{4, 3}, ArcBezierPath -> {{-0.333333, 0.}, {0.333333, 0.}}, 
    ArcCircleHeight -> -0.202178, ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{2, 5}, ArcBezierPath -> 
     {{-0.998597, -0.886289}, {1.137994, -0.65793}}, 
    ArcCircleHeight -> -0.427895, ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{6, 4}, ArcBezierPath -> 
     {{-0.364011, -0.287659}, {0.364011, -0.287659}}, 
    ArcCircleHeight -> -0.091822, ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{7, 6}, ArcBezierPath -> 
     {{-0.4063880000000001, -0.44738}, {0.4063880000000001, -0.44738}}, 
    ArcCircleHeight -> -0.22871, ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{7, 5}, ArcBezierPath -> {{-0.333333, 0.}, {0.333333, 0.}}, 
    ArcCircleHeight -> 0., ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{3, 8}, ArcBezierPath -> 
     {{-0.344887, -0.175905}, {0.344887, -0.175905}}, 
    ArcCircleHeight -> -0.131928, ArcStyle -> Circle, ArcFlipped -> False], 
   Arc[{8, 7}, ArcBezierPath -> 
     {{-0.344887, -0.175905}, {0.344887, -0.175905}}, 
    ArcCircleHeight -> -0.131928, ArcStyle -> Circle, ArcFlipped -> False], 
   Arc[{8, 1}, ArcBezierPath -> {{-0.333333, 0.}, {0.333333, 0.}}, 
    ArcCircleHeight -> 0., ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{1, 9}, ArcBezierPath -> {{-0.333333, 0.}, {0.333333, 0.}}, 
    ArcCircleHeight -> 0., ArcStyle -> Line, ArcFlipped -> False], 
   Arc[{6, 9}, ArcBezierPath -> 
     {{-0.344887, -0.175905}, {0.344887, -0.175905}}, 
    ArcCircleHeight -> -0.131928, ArcStyle -> Circle, ArcFlipped -> False], 
   Arc[{9, 2}, ArcBezierPath -> 
     {{-0.344887, -0.175905}, {0.344887, -0.175905}}, 
    ArcCircleHeight -> -0.131928, ArcStyle -> Circle, ArcFlipped -> False], 
   Arc[{5, 10}, ArcBezierPath -> 
     {{-0.344887, -0.175905}, {0.344887, -0.175905}}, 
    ArcCircleHeight -> -0.131928, ArcStyle -> Circle, ArcFlipped -> False], 
   Arc[{4, 10}, ArcBezierPath -> 
     {{-0.344887, -0.175905}, {0.344887, -0.175905}}, 
    ArcCircleHeight -> -0.131928, ArcStyle -> Circle, ArcFlipped -> True], 
   Arc[{10, 1}, ArcBezierPath -> {{-0.333333, 0.}, {0.333333, 0.}}, 
    ArcCircleHeight -> 0., ArcStyle -> Line, ArcFlipped -> False]}, 
  ArcArrow -> False, ArcArrowAngle -> 0.4, ArcArrowColor -> GrayLevel[0.], 
  ArcArrowFlare -> 0.3, ArcArrowPosition -> 1., ArcArrowSize -> 17., 
  ArcColor -> GrayLevel[0.], ArcLabel -> "", ArcLabelColor -> GrayLevel[0], 
  ArcLabelDistance -> 0., ArcLabelPosition -> 0., ArcLabelSide -> Right, 
  ArcLoopAngle -> 3.141592653589793, ArcLoopClockwise -> False, 
  ArcLoopSize -> 0., ArcThickness -> 0.6296300000000001, 
  NodeAnnulusRatio -> 0.2, NodeColor -> GrayLevel[0.], NodeLabel -> None, 
  NodeLabelColor -> GrayLevel[0], NodeLabelDistance -> 0., 
  NodeSize -> 2.542373, NodeStyle -> Disk, 
  PlotRange -> {{0., 325.}, {330., 5.}}, ArcLabelFont :> $DefaultFont, 
  NodeLabelFont :> $DefaultFont]