If you want to keep the shape of the core, i suggest you rework the fuel insertion to happen in the "gaps" inside the large square (red circles) rather than outside in some areas, so as to use other reactor as heat conveyer on the outside.
- reactorsareheatpipes.png (4.73 MiB) Viewed 4228 times
from this other page on the wiki, the distance that heat can travel is explained differently with the formula rather than table,it may help illustrate the difference when using reactors as heat pipes given the original shape
https://wiki.factorio.com/Heat_pipe
For any heat pipe entity with one input connection on one side and one output connection on another, this entity with lower the temperature by 1 + (P / 15) °C with P being the power going through this entity expressed in MW.
As surprising as it may seem, an unfueled nuclear reactor can also be used as a heat pipe.
In this case, it will drop the temperature by 1 + (P / 387) °C, with P again being the power in MW going through the entity.
You already know you need P at around 9GW+ or 9000 MW, in the theorical case of having just 1 connection to transfer heat. If you were to make 9 connections, such as in the edited picture, the order of magnitude for the temperature loss is made decently small. to a drop of 1+[(9000/9)/387] per reactor. This is about 3.5°C. With heat pipes it would be 67°C.
This matches the value at the end of the wiki page
The nuclear reactor will thus lower the temperature 5 times less with near-zero power going through it, and nearly 26 times less when approaching infinite power, compared to those lines of heat pipes.
As an example, a single line of 100 nuclear reactors (or 500 tiles) will only lower the temperature by about 360°C while carrying 1GW.
With heat pipes it would be only 100 tiles since they are smaller, and the temperature would be lowered by : 6700°C, which is not possible since the maximum difference allowed between the hottest point ( 1000°C) and the coldest point (500°), is 500. This means you are only allowed
500/[1+(1000/15)]= 7.4 so really 7 heat pipes.
Why then the wiki says the distance is 0 when power is >302 MW on the other page ? I suspect this is because in a real game, you can't "consume" 1GW power with heat exchanger connected to a single heat pipe, you would need to connect 100 of them which takes some space, which require additionnal heat pipes, and if the 7th heat pipes is >500°C the 8th is not. Which, like what seem to be the problem in your case, doesn't allow all the heat to be converted to electricity.
In a real game though, the 8th pipe can show 500°C, this may be happening to you, this is because the pipe may reach 500°C temperature at some point in time in game, and then never goes lower again since heat exchanger stop functionning at 500°C. The heat exchanger will be a 499°C,and some rare times during a fraction of second, the heat pipe will have a temperature of 501; the heat exchanger 500°C, and some steam will be produced during times where the utilization of reactor is 100% of its capacity. It may be confusing to debug that it is a heat throughput problem. Given the picture i think everyone assumed it is the case, me included but it may be useful that you confirm the symptoms are a lack of heat in some exchanger at the end of their lane ?
The more general purpose of having a blueprint that does the recycling and the enrichment and the power production all in one place can be achieved more easily with smaller reactor as the main constraint seem to be the heat transfer in your case, but it is also often time, as mentionned the water input which are both made easier when scaling down a little, even though you may lose the ability to place the production facility in the middle which looks cool and is often an underated thing
It may help fiddling with the blueprint in the map editor and import the satisfying result blueprint ingame later to speed up development as there are option to make copy/paste instant and it alleviate the frustration of running into pipes all the time in those compact designs where you want to modify the middle island of production