Amplifying Low DC Voltage Consistantly
You want a DC gain of 86 for positive voltages relative to ground.  Yes, a opamp can do this.  However, the common mode range of the opamp must extend to ground if you don't have a negative supply available.  Check the datasheet carefully.

Also consider the error from the input offset voltage.  With only 15 mV input, 1 mV of offset could be significant.  You can get around this if you don't need DC operation, but it sounds like you do.

If you have a way of dealing with the offset downstream, like subtracting out a calibration value measured with a known zero input, then you can add a little more to make sure everything is aways positive after the opamp's offset is added.  A voltage divider that moves the input up just a little towards the supply might be all you need.