Arduino Mini 04 with ATmega328

Problem solved!

Add the following lines to boards.txt:

mini328.name=Arduino Mini with ATmega328

mini328.upload.protocol=stk500
mini328.upload.maximum_size=28672
mini328.upload.speed=115200

mini328.bootloader.low_fuses=0xff
mini328.bootloader.high_fuses=0xd8
mini328.bootloader.extended_fuses=0x05
mini328.bootloader.path=bt
mini328.bootloader.file=ATmegaBOOT_168_atmega328.hex
mini328.bootloader.unlock_bits=0x3F
mini328.bootloader.lock_bits=0x0F

mini328.build.mcu=atmega328p
mini328.build.f_cpu=16000000L
mini328.build.core=arduino

Now you can select your board "Arduino Mini with ATmega328". Do a reset 1 second before upload.