A ball grid array (BGA) module integrated within a three‐dimensional printed peanut‐shaped lens is proposed for high‐data‐rate wireless communications in the F‐band (116–140 GHz) between a video camera and a TV or a laptop. The module implements a 1 × 2 array antenna which radiates a wide beam in the horizontal plane (H‐plane) and a narrower beam in the vertical plane (E‐plane). The dielectric lens, fabricated in ABS‐M30 plastic, is a shaped lens designed to achieve a fan‐beam radiation pattern further narrowing the vertical plane and widening the horizontal plane of the BGA module. The realised gain of the full antenna system is required to exceed 5 dBi within a 120° angular interval in the horizontal plane and a 20° angular interval in the vertical plane. Measurements show a reflection coefficient below −9 dB from 116 to 140 GHz and a maximum realised gain of 8.5 dBi at 130 GHz demonstrating feasibility of the cost‐effective proposed design for a high‐data‐rate communications.