Assuming your modem is plugged into the master socket and there is no extension wiring, I would say your new line has a fault or was installed incorrectly.
It would be worth putting a telephone on it to see if you can hear any noise - if so raise a voice fault. If not, contact your ISP as the line is performing well under expectations (the hardback threshold).
Of course, the lower the sync speed, the less chance of interleaving.. but it's really performing badly.