An initial beam profile measurement of laser 256 at Fermilab indicates that it has a waist of 658 +- 173 um located at the front of the laser, a divergence angle of 6.36 +- 0.98 mrad, and a M^2 value of 6.17 +- 1.88. Since the waist is at the front of the laser and the beam needs to be attenuated before measuring it, I couldn't get any data points within 1 Rayleigh range of the waist, so the measured M^2 value is likely far from the true value.
I measured the beam with a Thorlabs DCC1545M CCD camera and used the laserbeamsize python package to measure D4sigma beam diameters and characterize the beam waist, divergence, and M^2. The attached image shows the measured data and calculated beam parameters.