Calculating nearest neighbor distances
First, you can obtain CIF-file from COD, then load it with Olex2 (free, available on Windows, Linux, MacOS) and execute command envi &lt;r&gt;, which will print a list of the atoms about special position within a sphere of radius $r$. For example, envi 3 ($r = \pu{3 Å}$) yields in the following assigned pairs:

    O    SYMM  Ti    Ti    Ti    O     O     O     O     O     O     O     O     O     O     O
Ti  1.95 1_554 -     -     -     -     -     -     -     -     -     -     -     -     -     -
Ti  1.95 I     98.8  -     -     -     -     -     -     -     -     -     -     -     -     -
Ti  1.98 2_544 130.6 130.6 -     -     -     -     -     -     -     -     -     -     -     -
O   2.54 4_454 49.4  49.4  180.0 -     -     -     -     -     -     -     -     -     -     -
O   2.78 1_544 93.4  150.2 44.5  135.5 -     -     -     -     -     -     -     -     -     -
O   2.78 1_545 150.2 93.4  44.5  135.5 64.4  -     -     -     -     -     -     -     -     -
O   2.78 3_655 150.2 93.4  44.5  135.5 89.1  54.3  -     -     -     -     -     -     -     -
O   2.78 3_654 93.4  150.2 44.5  135.5 54.3  89.1  64.4  -     -     -     -     -     -     -
O   2.78 1_554 45.5  96.2  117.2 62.8  111.5 159.1 106.5 73.5  -     -     -     -     -     -
O   2.78 I     96.2  45.5  117.2 62.8  159.1 111.5 73.5  106.5 64.4  -     -     -     -     -
O   2.78 3_554 45.5  96.2  117.2 62.8  73.5  106.5 159.1 111.5 90.9  125.7 -     -     -     -
O   2.78 3_555 96.2  45.5  117.2 62.8  106.5 73.5  111.5 159.1 125.7 90.9  64.4  -     -     -
O   2.96 2_543 40.6  139.4 90.0  90.0  57.8  122.2 122.2 57.8  57.8  122.2 57.8  122.2 -     -
O   2.96 2_545 139.4 40.6  90.0  90.0  122.2 57.8  57.8  122.2 122.2 57.8  122.2 57.8  180.0 -




But this is only based on our guess for allowed $r$ value and is rather speculative. Answering your secondary question from the comments – "How would you go about choosing what cutoff distance to use?" – I would suggest to use Voronoi-Dirichlet (VD) polyhedra set [1] for every crystallographically inequivalent atom (e.g. for Ti and O pair in this case). You can do it with the ToposPro (Free, available on Windows), using Dirichlet subroutine.

Titanium:

Central atom:Ti1 0.500 0.500 0.500 Rsd:1.220
Atom:1.949 &lt; r &lt; 3.487  &lt;r&gt;=2.570   Top: 1.621 &lt; R &lt; 1.785  &lt;R&gt;=1.742
CN=6:0:4 NV=16 V=7.607/20.812 S=23.299 Cpac=0.509 Ccov=3.131
G3=0.083992444
Face distribution: {3/4 6/6 }
Vertex distribution: {3/16 }

  N  Atom   x      y      z     Dist.  SAng. 
  1  O  1  0.3048  0.3048  1.0000  1.94857  16.77659
  2  O  1  0.6952  0.6952  1.0000  1.94857  16.77659
  3  O  1  0.3048  0.3048  0.0000  1.94857  16.77659
  4  O  1  0.6952  0.6952  0.0000  1.94857  16.77659
  5  O  1  0.1952  0.8048  0.5000  1.98000  16.44522
  6  O  1  0.8048  0.1952  0.5000  1.98000  16.44522
 *7  O  1 -0.1952  0.1952  0.5000  3.48704   0.00080
 *8  O  1  0.8048  1.1952  0.5000  3.48704   0.00080
 *9  O  1  0.1952 -0.1952  0.5000  3.48704   0.00080
*10  O  1  1.1952  0.8048  0.5000  3.48704   0.00080


VD-polyhedra for Ti atom with NN denoted with the bonds:



Oxygen:

Central atom:O1 0.305 0.305 0.000 Rsd:1.413
 D(CP):0.050  ( 0.2971 0.2971 -0.0000 )
 D(VDP):0.069  ( 0.2941 0.2941 -0.0000 )
Atom:1.949 &lt; r &lt; 3.487  &lt;r&gt;=2.788   Top: 1.621 &lt; R &lt; 1.820  &lt;R&gt;=1.747
CN=6:8:4 NV=32 V=11.805/52.029 S=28.544 Cpac=0.328 Ccov=2.138
G3=0.085774387
Face distribution: {3/4 6/14 }
Vertex distribution: {3/32 }

  N  Atom   x      y      z     Dist.  SAng. 
  1  Ti 1  0.5000  0.5000 -0.5000  1.94857  16.77659
  2  Ti 1  0.5000  0.5000  0.5000  1.94857  16.77659
  3  Ti 1  0.0000  0.0000  0.0000  1.98000  16.44522
  4  O  1  0.6952  0.6952  0.0000  2.53648   3.12774
 #5  O  1  0.8048  0.1952 -0.5000  2.77800   4.78494
 #6  O  1  0.1952 -0.1952 -0.5000  2.77800   4.78494
 #7  O  1  0.8048  0.1952  0.5000  2.77800   4.78494
 #8  O  1  0.1952  0.8048 -0.5000  2.77800   4.78494
 #9  O  1 -0.1952  0.1952 -0.5000  2.77800   4.78494
#10  O  1  0.1952  0.8048  0.5000  2.77800   4.78494
#11  O  1  0.1952 -0.1952  0.5000  2.77800   4.78494
#12  O  1 -0.1952  0.1952  0.5000  2.77800   4.78494
*13  O  1  0.3048  0.3048 -1.0000  2.95870   1.71934
*14  O  1  0.3048  0.3048  1.0000  2.95870   1.71934
 15  O  1  0.6952 -0.3048  0.0000  3.32530   2.57704
 16  O  1 -0.3048  0.6952  0.0000  3.32530   2.57704
*17  Ti 1  1.0000  0.0000  0.0000  3.48704   0.00080
*18  Ti 1  0.0000  1.0000  0.0000  3.48704   0.00080


VD-polyhedra for O atom with NN denoted with the bonds:



Briefly, we are looking for interactions that are not labeled with # or *; to sum it up, there are the following sets of NN: 


6 NN for Ti: 4×O@1.94857 Å, 2×O@1.98000 Å;
6 NN for O: 2×Ti@1.94857 Å, 1×Ti@1.98000 Å, 1×O@2.53648 Å, 2×O@3.32530 Å.


Reference


Blatov, V. A.; Shevchenko, A. P.; Serenzhkin, V. N. Acta Cryst A, 1995, 51 (6), 909–916 DOI: 10.1107/S0108767395006799.