We report the visible supercontinuum (SC) generation in the double zero dispersion multi-core photonic crystal fiber (PCF), pumped by picosecond pulses from Yb-doped fiber laser. Such a dual-concentric-core-like PCF provides two closely spaced zero-dispersion wavelengths (ZDW). The redshift solitons will be canceled out at the vicinity of the second ZDW, and the steady solitons will cause considerable dispersive waves at the edges of the output SC which spans from 550 to 1700 nm at an average pump power 1 W. Moreover, the optical field is transferred from the inner core to the outer core. Experimental results agree well with the theoretical calculations.