t = {{0.00000, 0.00000, 
            0.00000, 0.72378}, {0.00000, 0.00000, 2.12651, 
            1.40272}, {0.00000, 0.00000, -2.12651, 1.40272}, {0.00000, 
            0.00000, 0.00000, 0.00000}, {2.24897, 0.00000, 0.00000, 
            1.52518}, {3.92903, 0.00000, 0.00000, 
            0.15487}, {4.11582, -0.92654, 0.00000, 0.79031}, {4.11582, 
            0.46327, -0.80241, 0.79031}, {4.11582, 0.46327, 0.80241, 
            0.79031}, {-2.24897, 0.00000, 0.00000, 
            1.52518}, {-3.92903, 0.00000, 0.00000, 
            0.15487}, {-4.11582, -0.92654, 0.00000, 
            0.79031}, {-4.11582, 0.46327, -0.80241, 
            0.79031}, {-4.11582, 0.46327, 0.80241, 0.79031}, {0.00000, 
            2.24897, 0.00000, 1.52518}, {0.00000, 3.92903, 0.00000, 
            0.15487}, {-0.92654, 4.11582, 0.00000, 0.79031}, {0.46327, 
            4.11582, -0.80241, 0.79031}, {0.46327, 4.11582, 0.80241, 
            0.79031}, {0.00000, -2.24897, 0.00000, 
            1.52518}, {0.00000, -3.92903, 0.00000, 
            0.15487}, {-0.92654, -4.11582, 0.00000, 
            0.79031}, {0.46327, -4.11582, -0.80241, 
            0.79031}, {0.46327, -4.11582, 0.80241, 
            0.79031}};

x = Table[t[[i, 1]], {i, 1, 24}];
y = Table[t[[i, 2]], {i, 1, 24}];
z = Table[t[[i, 3]], {i, 1, 24}];
r = 
        Table[t[[i, 4]], {i, 1, 24}];

(* 
      xy plane *) 
plot2=Graphics[{Circle[{x[[1]], y[[1]]}, 
            r[[1]]], 
Circle[{x[[2]], y[[2]]}, 
            r[[2]]], Circle[{x[[9]], y[[9]]}, r[[9]]], 
          Circle[{x[[3]], y[[3]]}, r[[3]]], 
          Circle[{x[[10]], y[[10]]}, r[[10]]], 
          Circle[{x[[4]], y[[4]]}, r[[4]]], 
          Circle[{x[[11]], y[[11]]}, r[[11]]], 
          Circle[{x[[5]], y[[5]]}, r[[5]]], 
          Circle[{x[[12]], y[[12]]}, r[[12]]], 
          Circle[{x[[6]], y[[6]]}, r[[6]]], 
          Circle[{x[[13]], y[[13]]}, r[[13]]], 
          Circle[{x[[7]], y[[7]]}, r[[7]]], 
          Circle[{x[[14]], y[[14]]}, r[[14]]], 
          Circle[{x[[8]], y[[8]]}, r[[8]]], 
          Circle[{x[[15]], y[[15]]}, r[[15]]], 
          Circle[{x[[16]], y[[16]]}, r[[16]]], 
          Circle[{x[[17]], y[[17]]}, r[[17]]], 
          Circle[{x[[18]], y[[18]]}, r[[18]]], 
          Circle[{x[[19]], y[[19]]}, r[[19]]], 
          Circle[{x[[20]], y[[20]]}, r[[20]]], 
          Circle[{x[[21]], y[[21]]}, r[[21]]], 
          Circle[{x[[22]], y[[22]]}, r[[22]]], 
          Circle[{x[[23]], y[[23]]}, r[[23]]], 
          Circle[{x[[24]], y[[24]]}, r[[24]]], 
          Disk[{x[[6]], 0}, 0.08],  Disk[{x[[11]], 0}, 0.08],  
          Disk[{0, y[[16]]}, 0.08],  Disk[{0, y[[21]]}, 0.08],  
          Disk[{0, 0}, 0.08], {Thickness[0.006], 
            Line[{{x[[11]], 0}, {x[[6]], 0}}], 
            Line[{{0, y[[21]]}, {0, 
                  y[[16]]}}] }} ]

Show[
      plot2, {AspectRatio  ->  Automatic, Axes  ->  True, 
        GridLines  ->  Automatic,  
        PlotRange  ->  {{-5, 5}, {-5, 5}},  
        Frame  ->  True}]

  
plot3 = 
      Graphics[{Circle[{x[[1]], z[[1]]}, 
            r[[1]]], 
Circle[{x[[2]], z[[2]]}, 
            r[[2]]], Circle[{x[[9]], z[[9]]}, r[[9]]], 
          Circle[{x[[3]], z[[3]]}, r[[3]]], 
          Circle[{x[[10]], z[[10]]}, r[[10]]], 
          Circle[{x[[4]], z[[4]]}, r[[4]]], 
          Circle[{x[[11]], z[[11]]}, r[[11]]], 
          Circle[{x[[5]], z[[5]]}, r[[5]]], 
          Circle[{x[[12]], z[[12]]}, r[[12]]], 
          Circle[{x[[6]], z[[6]]}, r[[6]]], 
          Circle[{x[[13]], z[[13]]}, r[[13]]], 
          Circle[{x[[7]], z[[7]]}, r[[7]]], 
          Circle[{x[[14]], z[[14]]}, r[[14]]], 
          Circle[{x[[8]], z[[8]]}, r[[8]]], 
          Circle[{x[[15]], z[[15]]}, r[[15]]], 
          Circle[{x[[16]], z[[16]]}, r[[16]]], 
          Circle[{x[[17]], z[[17]]}, r[[17]]], 
          Circle[{x[[18]], z[[18]]}, r[[18]]], 
          Circle[{x[[19]], z[[19]]}, r[[19]]], 
          Circle[{x[[20]], z[[20]]}, r[[20]]], 
          Circle[{x[[21]], z[[21]]}, r[[21]]], 
          Circle[{x[[22]], z[[22]]}, r[[22]]], 
          Circle[{x[[23]], z[[23]]}, r[[23]]], 
          Circle[{x[[24]], z[[24]]}, r[[24]]],  
          Disk[{x[[6]], 0}, 0.08],  Disk[{x[[11]], 0}, 0.08],  
          Disk[{0, 0}, 0.08], {Thickness[0.006], 
            Line[{{x[[11]], 0}, {x[[6]], 
                  0}}] }}]
Show[
      plot3, {AspectRatio  ->  Automatic, Axes  ->  True, 
        GridLines  ->  Automatic,  
        PlotRange  ->  {{-5, 5}, {-5, 5}},  
        Frame  ->  True}]