There are many more ASTM standards that may apply, depending upon material and method of fabrication. Go to the ASTM site and do a search for ‘Boiler.’
There are 177 ASTM standards listed for 'Boiler' (only 11 if only do ‘Boiler tubes’). These may be helpful:
A1012-02 Standard Specification for Seamless and Welded Ferritic, Austenitic and Duplex Alloy Steel Condenser and Heat Exchanger Tubes With Integral Fins
A1020/A1020M-02 Standard Specification for Steel Tubes, Carbon and Carbon Manganese, Fusion Welded, for Boiler, Superheater, Heat Exchanger and Condenser Applications
A178/A178M-02 Standard Specification for Electric-Resistance-Welded Carbon Steel and Carbon-Manganese Steel Boiler and Superheater Tubes
A192/A192M-02 Standard Specification for Seamless Carbon Steel Boiler Tubes for High-Pressure Service
A209/A209M-98 Standard Specification for Seamless Carbon-Molybdenum Alloy-Steel Boiler and Superheater Tubes
A210/A210M-02 Standard Specification for Seamless Medium-Carbon Steel Boiler and Superheater Tubes
A213/A213M-01a Standard Specification for Seamless Ferritic and Austenitic Alloy-Steel Boiler, Superheater, and Heat-Exchanger Tubes
A249/A249M-02 Standard Specification for Welded Austenitic Steel Boiler, Superheater, Heat-Exchanger, and Condenser Tubes
A250/A250M-95(2001) Standard Specification for Electric-Resistance-Welded Ferritic Alloy-Steel Boiler and Superheater Tubes
A450/A450M-02 Standard Specification for General Requirements for Carbon, Ferritic Alloy, and Austenitic Alloy Steel Tubes
B608-02 Standard Specification for Welded Copper-Alloy Pipe
F1155-98 Standard Practice for Selection and Application of Piping System Materials