A solid core photonic quasi-crystal fiber (PQF) is a novel microstructured optical fiber which could provide a large nonlinearity and a low dispersion, which, in turn, could be exploited for generating few cycle laser pulses. We look for the hitherto mentioned optical properties in the proposed PQF by carefully changing the geometrical parameters, namely, core diameter and the pitch. We report a large nonlinearity (γ = 588.2993 W ^-1 m ^-1 ) and a low dispersion (≈ 0.095 ps/nm.m) for operating wavelengths from 1200 to 2000 nm.