  A point set $M$ in the Euclidean plane is called a planar integral point set
if all the distances between the elements of $M$ are integers, and $M$ is not
situated on a straight line. A planar integral point set is called to be in
semi-general position, if it does not contain collinear triples. The existing
lower bound for mininum diameter of planar integral point sets is linear. We
prove a new lower bound for mininum diameter of planar integral point sets in
semi-general position that is better than linear.
