The feed is actually layer hen feed? How is your egg production?
14% might be appropriate for hens that are a few years old and not laying too much anyway, but 14% would be too low to expect good production from younger hens. I wouldn't necessarily call it "unhealthy" for them, as they will stop laying to conserve resources for themselves, but I assume you keep them for egg production...
Most retail layer feeds are usually a minimum of 16% protein. That's about right on target for medium-sized birds consuming an average amount of feed (around .25 lbs per bird per day) and laying above 80%. The requirement could be a little lower for birds consuming large amounts of feed in cold weather or for birds that have fallen off in production over the years. On the flip side, that requirement could be a bit higher for birds whose consumption is down due to hot weather and for birds that are capable of laying at very high production rates, (e.g., brown commercial layers laying at 95%).
That fact that the feed is certified organic throws another twist in there. Since mammalian and avian by-products are not allowed in certified feed, the feed is all plant based and is usually deficient in an essential amino acid, methionine. Synthetic methionine is usually added to balance the ration. The USDA National Organic Program has been lowering the amount of synthetic methionine that is allowed in the feed to force the industry to find other alternatives. The result is an unbalanced ration that may require additional crude protein to make up for the shortage of methionine.
Since the feed mill is right down the road from you, why don't you go talk to them about what they are offering and see what their reasoning for marketing a 14% layer ration is? If you have an average backyard flock with decent production numbers I'd suggest 16-17% protein, perhaps 17-18% in the heat of a southwest summer.