We present a linear cavity self-polarizing Mamyshev oscillator at 1550 nm made fully of polarization-maintaining fibers. The cavity filters are chirped fiber Bragg gratings with a Gaussian reflectivity profile that allow for greater reflectivity, larger bandwidth, and dispersion control. This mode-locked fiber laser architecture shows an unprecedented simplicity while delivering 21.3-nJ pulses compressed to 108 fs with a competitive 22.3% pump conversion efficiency. Mode locking is initiated with an external saturable absorber mirror. Numerical simulations show how nonlinearity can be managed with highly dispersive filters inside a Mamyshev oscillator.