This wire pigtail from the wiring harness to the back of the 7 blade receptacle box on my LX470 was also damaged by a piece of road debris about a year ago. I had to look around for quite a while before finding this replacement, which I believe is the part you are looking for:
82177-60010 - Genuine Toyota WIRE, FRAME
I had no luck getting much help to locate the part at a handful of Toyota and Lexus dealers that I have used for parts and service in the past. I also tried to source the harness from an independent Toyota parts man who could not come thru for me either. If this is the part that you are seeking,
@beno here on MUD can likely get this shipped out to you in short order if you contact him at
parts@landcruiserpartsandconsulting.com The harness is also available used from recyclers or could easily be removed if a a junkyard donor can be found. Here is a link with better images of the part than the vague Toyota diagram:
Genuine OEM Toyota Land Cruiser recycled Auto parts - 2007 body wire harness online. TLS Auto Recycling.
In the end, I didn't purchase it due to the high cost of this part. Instead I cut the damaged plug end that connects to the receptacle box off of the pigtail and used some crimp on connectors with heat shrink insulation to attach the wires to an aftermarket 7 blade receptacle that I bought locally at an auto parts store for less than $15. I packed the inside of the plug where the connectors attach with Dow Corning Compound 4 (a mil-spec silicone based dielectric grease insulator) to waterproof it since the area it is mounted on gets a lot of water spray from the back tire and could also potentially be submerged by passing thru high water crossings. This is the replacement receptacle that I used:
https://www.etrailer.com/Wiring/Hopkins/HM48480.html
I also removed the original damaged receptacle being that it was no longer in use and since it's mounting bracket hung so low beneath the rear of the truck I decided not to mount my new trailer connection receptacle there again. Instead I mounted it tucked away inside on the driver's side of the hitch near the spare tire. Now it is several inches higher than the original location and protected from damage by other substantial rear end components.
This repair was done for about $32 with purchase of 16 gauge connectors, receptacle and the waterproofing compound instead of a couple hundred dollars for the part linked above. It just made more sense to move it up and out of harms way and in the event that it becomes damaged again in the future, a replacement can be easily sourced at most any parts house, retail chain store or truck stop.