A first and second antenna substrate are included in an advanced antenna package. Each antenna substrate includes a respective array of antenna elements disposed on a respective first surface of the substrate. A plurality of stand-off balls disposed between the first surfaces of first and second antenna substrates are bonded to the first surface of the first antenna substrate. A first sub-plurality of the stand-off balls are placed at positions in a peripheral region of the first and second antenna substrates. A second sub-plurality of the stand-off balls are placed at interior positions between antenna elements of the first and second antenna substrates. A plurality of adhesive pillars are disposed between and bond the first surfaces of first and second antenna substrates at a plurality of discrete selected locations. A first location of the discrete selected locations is in a peripheral region. A second location of the discrete selected locations is at an interior position between antenna elements. A method for fabricating the antenna package is also described.