Prime p₀= 1368349126327018679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1368347483569425061	0 66 70 82 96 106 108 190 198 280 282 292 306 318 322 388	-1642757593618
SPT(16)	1368347503927549853	0 8 36 134 164 168 180 200 204 224 236 240 270 368 396 404	-1622399468826
SPT(16)	1368347589489529709	0 20 102 104 128 152 170 188 264 282 300 324 348 350 432 452	-1536837488970
STPT(10)	1368347612790600329	0 2 18 20 30 32 42 44 60 62	-1513536418350
SPT(16)	1368347683450587061	0 40 52 118 132 160 166 172 216 222 228 256 270 336 348 388	-1442876431618
SPT(16)	1368349070538754147	0 22 42 180 202 204 232 264 280 312 340 342 364 502 522 544	-55788264532
STPT(10)	1368349685870048909	0 2 18 20 30 32 42 44 60 62	559543030230
TPT(14)	1368349764240970727	0 2 54 56 60 62 144 146 150 152 210 212 234 236	637913952048
SPT(16)	1368349818158858569	0 34 42 48 58 90 94 100 102 108 112 144 154 160 168 202	691831839890
SPT(16)	1368350188011813653	0 48 80 104 140 150 164 180 374 390 404 414 450 474 506 554	1061684794974
SPT(16)	1368350289509688937	0 6 12 22 82 96 112 132 190 210 226 240 300 310 316 322	1163182670258