Hi,
Can you please measure VCM of ADS62P44 device? It should be 1.5V with internal reference mode. When external reference mode, the differential input voltage corresponding to full-scale is given in equation 2 shown as below from datasheet,
Full-scale differential input pp = (voltage forced on VCM) x 1.33
In this mode, 1.5V common mode voltage to biad the input pins has to be generated externally.
With two's complement format, you should have sampled output ranging -8192 to 8191.
Thanks,
KW