Talking about a "template", I think we need to define what does that means. We do not define a galaxy by using another. We rather categorize the galaxies according to some key parameters from observations.
For a typical non-irregular galaxy, there are several key parameters for describing it: stellar mass, size, stellar color (which is a sort of measurement of its age), and concentration, or put it more general: morphology, etc.
Taking morphology for example. Here is a summary of the SINGS project, which is one of the surveys done for nearby galaxies. You can see the galaxies are nicely categorized into several kinds. The main ones are Ellipticals (usually more massive and old galaxies), barred/unbarred/intermediate Spirals (our Milky Way has a bar).

Talking about the relations, 2MASX J10500165-0152029 has a redshift of z=0.03742. The radius of 2MASX J10500165-0152029 is measured to be about 9 kpc (http://www.sdss.org/dr6/products/catalogs/index.html). It seems comparable with the half-light radius of the Milky Way (~ 6 kpc). However, It's unclear if they have similar stellar mass and colors.
Therefore, I don't think there is a clear link between the two. But you can put them into spirals in general.