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If common-mode noise is the problem you could also get a big ferrite ring core and wind the coax a couple of times through the ring, this gives quite good suppresion of HF common-mode noise.
The temperature characteristics in reverse (normal diode) is around -2mV/K but in forward (zener) the tc is quite different! Values below say 5V have a negative tc and higher values have a positive tc! This however also depends on the biasing current, in old discrete power supplies this was used...
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