What we are talking about here is "Tube Pitch."
Tube pitch is defined as the shortest distance between two adjacent tubes.
For a triangular pattern, TEMA (Tubular Exchanger Manufacturers Association) specifies a tube pitch of 1.25 times the tube O.D. Thus, a 25 mm tube pitch is usually employed for 20 mm O.D. tubes.
Square patterns may be used to facilitate certain physical cleaning methods, but are not used if thermal efficiency is a priority.
Designers prefer to employ the minimum recommended tube pitch, because it leads to the smallest shell diameter for a given number of tubes. However, in exceptional circumstances, the tube pitch may be increased to a higher value, for example, to reduce shellside pressure drop, which is not an issue for this particular exchanger, because the tubeside pressure drop is the higher priority for engine exhaust systems that use the tubeside for the exhaust flow.
The design shown in Larry's picture seems to exhibit a haphazard, or arbitrary tube pitch and no pattern at all.