Ok...that's really offered you no help has it :)
Your question: If the stock light (power compacts) on a 14 gallon biocube (2x24 watt?) will be good enough to keep these guys alive and thriving.... right?
In my experience, the stock lighting for my 12 gallon NANOcube (2x24w) has done really well for things like LPS, zoas, softies, etc. I doubt that you'll keep the fantastic colors of a nice rainbow maxi/mini with the stock lighting power compacts. I've lost color on some SPS and I don't think a maxi mini is going to appreciate that low lighting.
Just my opinion.