The speed at which quantum entanglement between qubits with short range interactions can be generated is limited by the Lieb-Robinson bound. Introducing longer range interactions relaxes this bound and entanglement can be generated at a faster rate. The speed limit for this has been analytically found only for a two-qubit system under the assumption of negligible single qubit gate time. We seek to demonstrate this speed limit experimentally using two superconducting transmon qubits. Moreover, we aim to measure the increase in this speed limit induced by introducing additional qubits (coupled with the first two). Since the speed up grows with additional entangled qubits, it is expected to increase as the system size increases. This has important implications for large-scale quantum computing.