The first hop values to your dsldevice are oddly high, they should usually be 1ms or <1ms.
However, as they others are sensibly low it indicates nothing too bad happening; probably just a router that prioritized tracert packets very low.
The 14ms 2nd hop makes it difficult to be sure if you are on interleaving or not; I get nearly that and I am not interleaved.
Overall 14ms to bbc isn't too bad; the others are sometimes a bit higher than they should be, but not by that amount.
You didn't mention if you were on wireless; that could still be the issue.
Unfortunately no issues in the past doesn't assure the same in the future; as more people get connected to your cabinet there can be crosstalk issues that lower you speed. They are trialing experiments to get over that, but ...???
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Recently moved from BT Infinity 2 to PlusNet. Very happy so far.