Nd, Gd∶CaF2 is a disordered crystal, and has advantages of broadband spectrum, high thermal conductivity, wide transmission range, and low phonon energy. Using a 0.5%Nd, 8%Gd∶CaF2 disordered crystal as laser-gain medium, in which 0.5% and 8% are both atomic fractions, a diode-pumped tunable laser is realized for the first time herein, to the best of our knowledge. A continuous tuning range of approximately 28.5 nm (1045.7-1074.2 nm) is obtained. Using a semiconductor saturable absorber mirror as mode locker, a dual-wavelength mode-locked laser is demonstrated. The central wavelengths of the mode-locked laser are 1065.45 nm and 1066.48 nm. The maximum output power of the mode-locked laser is approximately 394 mW, and the minimum pulse width is 8.37 ps.