Unless you have gotten evaluation board(s) from AD for this amp or made your own, per their AN-720 ap note, it's likely your results via sim or alternate real-world layout is the oscillation issue coupled with a few other items. My advice is to read over the datasheet very carefully for this special use, very touchy device before going further.
Also of note, if you look at the datasheet, you'll notice discrepancies in your decoupling of +Vs and -Vs, the input resistance on the non-inverting input, the labels on pins 5 & 8 inferring they are of the same net (tied) and the capacitive loading on the output. Take a look at page 18, upper right, for the recommended configuration for either the CSP or SOIC package for the desired programmed gain of 20 as shown in your schematic. With gains like this and slew rates up to 1350 V/usec, singing amps are easy to generate, and require due caution.
Good Luck with your project.