Oh man, this is a can of worms.
Although I agree that twisting the heater wires is a good idea, and I have done it on SVT's, they are normally not twisted. But I suspect that you are hearing a loud hum and not the type that one hears with untwisted heaters.
Can you identify the frequency of the hum? 60Hz? 120Hz? 60 Hz is more than likely related to the heater circuit; 120 Hz could be the high voltage power supply circuit.
Recheck everything that you worked on. You could have a bad solder joint which could cause the hum so check that all the joints are solid and wire contacts are good.
SVT's vary a bit in their grounding, depending on the revision. For the most part there are no or possible one ground point on the power amp chassis. The cap cans should have fiber isolation washers between the can and the chassis. Do not let the can body come in contact with the chassis or you will have a ground loop and loud hum. All the power supply cap returns are tied together on a bus and connect to the shield of the gray wire that runs to the pre-amp. Make sure that this is the only ground wire running to the pre-amp. The hum pot center tap, or in your case the artificial center tap from the 100 ohm resistors, should be connected to the power supply ground bus at the C node ground point. The circuit board ground goes to the C node ground point. The test point ground (on the chassis) goes to the C node ground point as well. The common from the secondary of the output transformer also connects to this bus at the A node ground point. The orange wire from the power transformer secondary center tap also connects to this bus at the A node ground point.
Sometimes the external amp jacks, J1 and J2, are isolated from the chassis with fiber washers, sometimes they aren't. This is often the only chassis ground point. When isolated, the jacks sometimes have a 10 ohm resistor to ground. This acts as an offset.
Hope that this helps.