From this previous question, it seems like evidence for the minicolumn organisation of the neocortex seems to be primarily based off observations around the sensory parts of the cortex, such as the primary visual cortex and the barrel cortex. Have column-like organisation been observed in non-sensory regions of the neocortex?
Cortical columns (also called minicolumns) are not limited to the somatosensory cortex. As shown in this paper (which discusses how the miniucolumns change in response to aging), it is also present in the associative cortex.
However, it should be noted that "minicolumn" in this paper is defined as neurons that are close together and form a minimum spanning tree, as shown below.
Connectivity doesn't seem to be analysed, probably because connectivity information is really painful to collect, but I'm not sure given I'm an amateur when it comes to neuroscience.