Per Appendix A of the Operating Manual:
"Because there are no internal or external hardware adjustments, your power supply can be calibrated without removing the
covers or removing it from the cabinet if it is rack mounted. Calibration is performed by measuring actual output values and
sending them to the supply over the GP-IB. The power supply uses these values to calculate output, readback, and
overvoltage correction constants. These correction constants are stored in a non-volatile memory on the GP-IB interface
board of the supply. Thereafter, when a command such as ’’VSET1,5" is sent to set the voltage on output 1, the power
supply uses the correction constants to accurately program the output."
If there is nothing obviously wrong with the sense connections, it looks like the cal constants in memory got corrupted.
Unfortunately, to recalibrate, you need 1) a GPIB cable, 2) a computer and 3) a GPIB device such as a USB-GPIB or Ethernet-GPIB or a PCI GPIB card (along with the proper drivers). More unfortunately, USB or LAN GPIB devices can be a bit pricey ($300+) even on the used market. Your best bet is to find a friend or colleague that has the proper equipment. While the 662x series are fabulous supplies, HP wasn't exactly looking out for the hobbyist...