According to the work by Ladell et al., the structure of $\ce{Ni(CO)4}$ in the solid state ($\pu{-55 \pm 5 ^\circ{}C}$, ambient pressure) is tetrahedral with refined $\ce{Ni-C}$ distances of $\pu{(1.84 \pm 0.03) Å}$, and $\ce{C-O}$ distances of $\pu{(1.15 \pm 0.03) Å}$. You find the corresponding .cif
file for example in the COD database filed there as entry COD 2310876:

Note this primary reference has been cited by (at present) 103 other publications.
Reference:
Ladell, J.; Post, B.; Fankuchen, I. The Crystal Structure of Nickel Carbonyl, $\ce{Ni(CO)4}$. Acta Cryst. 1952, 5, 795-800; doi: 10.1107/S0365110X52002148.
Technical detail:
Initially, the reference card of the entry displays only the unit cell and the crystallographic motif. To view the packing in the unit cell as shown in the illustration above, put your mouse over the interactive display provided by JSmol, and click once with the right-hand mouse button to open a new pull down menu. From here, choose entry Symmetry
, followed by Reload {1 1 1}
to display any molecule with at least one atom within the unit cell. (In the present case, the multiplicity equates to eight molecules per unit cell.) You may zoom-in and out with a mouse wheel, or walk around the model by click-and-drag with the left-hand mouse button.