Well, ok. From what you said it would seem that the Peake tool is actually better. It's telling you *specifically* that the secondary air pump is not feeding air to cylinders 4-6 properly during startup. *Minor leak detected* means what? where? what system?
It apparently is not uncommon for the secondary air pump and/or its vacuum valve to fail from condensation, so unless you think there is an error in the Peake code sheet, I'd pull the vacuum valve and look for crud in the system.
Again, the Peake tool only reads codes from the DME, any issue about the code being too vague or whatnot would seem to be the fault of the programmer for the DME.
Frank