That is far too many hops:
2 172.16.12.5 (172.16.12.5) 5.717 ms 6.011 ms 6.925 ms
3 * * *
4 217.41.217.45 (217.41.217.45) 6.288 ms 6.933 ms 5.478 ms
5 212.140.235.66 (212.140.235.66) 9.322 ms 10.213 ms 9.097 ms
6 213.120.182.71 (213.120.182.71) 10.538 ms 9.626 ms 9.096 ms
7 31.55.164.109 (31.55.164.109) 9.424 ms 9.577 ms 9.446 ms
8 acc2-10gige-0-1-0-6.
bm.21cn-ipp.bt.net (109.159.248.222) 9.390 ms
acc2-10gige-0-1-0-5.
bm.21cn-ipp.bt.net (109.159.248.218) 11.030 ms 10.254 ms
9 core1-te0-3-0-15.ilford.ukcore.bt.net (109.159.248.152) 17.622 ms
core2-te0-15-0-16.ealing.ukcore.bt.net (109.159.248.160) 15.349 ms
core1-te0-3-0-15.ilford.ukcore.bt.net (109.159.248.152) 18.909 ms
10 peer2-xe11-0-0.telehouse.ukcore.bt.net (109.159.254.130) 13.388 ms 35.970 ms 13.589 ms
11 t2c3-xe-2-1-0-0.uk-lon1.eu.bt.net (166.49.211.188) 14.135 ms 13.981 ms 14.586 ms
12 be3035.ccr21.lon01.atlas.cogentco.com (130.117.14.169) 14.490 ms 15.100 ms 14.927 ms
13 te3-2.ccr01.lon10.atlas.cogentco.com (130.117.51.178) 14.118 ms 14.265 ms 14.265 ms
14 te3-2.ccr01.lon15.atlas.cogentco.com (154.54.57.234) 14.585 ms 13.966 ms 13.836 ms
15 te3-2.ccr01.lon14.atlas.cogentco.com (154.54.58.49) 15.972 ms 14.257 ms 14.589 ms
16 te0-6-0-3.rcr21.lhr01.atlas.cogentco.com (130.117.51.185) 17.110 ms 15.092 ms 15.571 ms
17 149.6.8.226 (149.6.8.226) 14.426 ms 14.358 ms 16.492 ms
18 switch-a-003.prgn.misp.co.uk (91.146.104.6) 17.670 ms 15.411 ms 14.790 ms
19 pinballinfo.servers.prgn.misp.co.uk (195.62.28.254) 15.390 ms 16.405 ms 15.544 ms
Up to hop 11, my packet has not left BT. Without the -I switch (ICMP Type 8) packets, it goes into a timeout at my hop 18 so I assume some sort of ICMP type 11 filter is on place on the end firewall.