This portrait in the Museo Capitlino (inv. MC475) , is
commonly identified as Gordian I.
Maybe, but I think this may be an example of an attempt to find a
plausible candidate for an emperor living during a time interval
assigned to a portrait based on sculpture style. While there is some
similarity between this and portraits of Gordian on coins, it seems
unlikely that this portrait was meant to represent a 79 year old man.
While numismatic images of Gordian show no wrinkles, they do show
drooping eyebrows and bags under they eyes. - Bill