Consider a network connecting two systems located $2000$ kilometers apart. The bandwidth of the network is $64 \text{ Mbps}$. The propagation speed of the media is $2/3$ of the speed of light in vacuum. It is needed to design selective repeat sliding window protocol for this network. The average packet size is of $16 Kb$. The network is to be used to its full capacity.
Assume that processing delays at nodes are negligible. Then, the minimum size in bits of the sequence number field has to be __________.