When we measured the internal dimensions of the TorkLift PowerArmor Locking Battery Box # TLA7708R we found that it was 26-1/2" long x 7-3/8" wide x 12-9/16" high. This means it would work with your pair of 13" long x 6-3/4" wide x 10" high batteries so long as that 13 inches was measured at the longest point of your batteries. If so there would be a half-inch or so to spare.
You can take a look at the linked video review which details these measurements at the end of the video. view full answer...
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