Weighted minihypers have recently received a lot of attention. They originated as geometrical equivalents of linear codes meeting the Griesmer bound, but have also been investigated for their importance in solving geometrical problems. Storme characterized weighted {δ(q+1), δ; k−1, q}-minihypers, q square, as a sum of lines and Baer subgeometries PG(3, √ q), provided δ is sufficiently small. Th...