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It wasn't the same frequency rather constant buzzing with periodic higher amplitude peaks however it was very low and simply holding the pcb often caused enough flexture or rigidity to remove the noise. I suppose if the board were fastened with screws it would not make noise.
For an output of 2.5mA and ~27V is a 100uH simply too large for this boost IC or are there better inductor values for this output?
My simulation agrees with previous posts estimating that at 1 MHz a 7uH inductor has peak current at 500 mA or so. Therefore your inductor can be rated for saturation at 500mA. However power rating (heat endurance) is a different parameter which is influenced by several factors, and which needs adequate safety margin.
This screenshot has a higher Henry value (25uH) to illustrate how it permits reduced Ampere levels (as compared to the 6.8uH design).
Output is 25V. Spec current draw is 25mA. This calculates to 1k ohm load. To create 70 percent efficiency I reduced load resistance from 1k to 700 ohms.
The mt3608 boost converter datasheet suggests a single 22uF for input and output however - does a pair of the 10uF capacitors improve the efficiency in the boost converter, especially if the converter was set to output more current?
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