Ykmz,
"by using reduced live load ( normally I don't use this for residential"....
what reduction in live load? Your area per joist is less than 39 square feet...you don't get any reductions from Equation 16-24 or 16-25 (IBC 2006).
And your live load deflection is more like L/397. Based on the vibration studies we have done, and without going into yet another topic here, vibration will be a problem with a majority of occupants that use your floor. A good check is using the TJbeam freeware, and noticing that the proprietary "Pro rating" for a similar product, the TJI560 14" joist under similar conditions is 18. We design for 40 on low end residential and 50+ on upper end when using this software.
It is generally cheaper in residential construction to run more frequent supports (i.e. beam at center of building) than not. To get a perspective, your floor is approximately 21% wood (3 1/2" flange/16" o.c.). Adding a beam at centerline will reduce that by half and improve your overall floor performance.
Regarding previous (albiet mute) posts about using a rim to "spread load" remember that this only works when you connect to the rim via facemount hanger, especially for the end reaction you are dealing with. I would skip all of these unusal details and add a conventional beam with pads and posts at center line.