OK I am getting myself confused.
With your setup:
Which specific A123 are you using?
What is their individual AH rating?
How many is in a pack?
How many packs are you running?
How did you configure your connections within the packs?
For some reason my maths is failing me on this one. Your help will greatly appreciated.
The cells are a123's 20ah prisimatic LiFePO4 cells (diagram above), which are 3.65v off the charger instead of 4.2v-4.35v with LiCo variants like the tesla cells, which may be what is throwing off your maths.
This picture is an "exploded parts diagram" of my Dune Buggy's Pack. The a123 modules are the big beige/black rectangle in the forground, and the 2 smaller modules right in front of the silver battery box. They are connected by the 4/0 cables in the picture.
The modules are configured with (3) 20ah cells in parallel ("3p") for 60ah total. The big module has 28 cells in series ("28s") and weighs 106lbs, and the two smaller modules have 7 cells in series ("7s") and weigh 30lbs. Together, they make a 166lb 3p42s pack, which is 60ah/153.3v off the charger. This picture shows everything needed to mount the pack, 219lbs altogether, which is what helps keep my build around 1,000lbs.
Another thing that may be throwing off your maths is DOD. Lead Acid should only be discharged 45%-50% to get a good cycle life, so 7ah or less from your 14ah cells. Most lithium variants only yield 80% of rated capacity (80ah from a 100ah cell) when they drop to a cut-off voltage, but these a123 cells deliver very close to their rated 60ah capacity when discharged to a conservative 2.8v/cell.
Good thing about LiCo variants like the tesla cells are light weight and low volume. However, you need a lot of AH to be able to deliver high continuous amps. The a123 cells can do 30c, so you need a lot less AH to deliver the same amount of amps, so the pack can be smaller. Many EVs builders want a lot of AH for range, so the pack can deliver all the amps they need so the point is moot. However, my primary design criteria was to build as light as possible, so I needed the high C rating, I am not sure how important weight is to your build, but it is light. A123 also has a flatter discharge curve, so voltage does not drop off as quickly, and the low resistance means less sag under load to keep volts (and consequently KW) higher. And they have an inert cathode, and are good for 2,000+ cycles, compared to 300-500 from PB and many of the high-current LiCo Varients. Every cell out there is ideal for a different design criteria.
Here is a link to my build thread that has more detail, if you can tolerate the obnoxious number of pictures:
https://endless-sphere.com/forums/viewt ... 34&t=50717
And a youtube of a cruise in the dune buggy (wait past the spinning wheel in the beginning):