Prime p₀= 2573496235729522841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 46 2 58 2

TPT(14)	2573494969124912627	0 2 12 14 42 44 144 146 324 326 342 344 354 356	-1266604610214
SPT(16)	2573495158871417371	0 70 78 96 138 166 196 220 336 360 390 418 460 478 486 556	-1076858105470
STPT(10)	2573495433374275379	0 2 12 14 30 32 48 50 60 62	-802355247462
SPT(16)	2573495453873627407	0 12 46 76 90 160 180 192 274 286 306 376 390 420 454 466	-781855895434
SPT(16)	2573496024308542843	0 6 30 34 90 178 210 226 318 334 366 454 510 514 538 544	-211420979998
STPT(10)	2573496050901830147	0 2 30 32 60 62 90 92 120 122	-184827692694
STPT(10)	2573496443132212649	0 2 18 20 30 32 42 44 60 62	207402689808
TPT(14)	2573496510914351261	0 2 30 32 66 68 126 128 198 200 306 308 390 392	275184828420
SPT(16)	2573496535558125173	0 36 38 84 90 126 168 216 248 296 338 374 380 426 428 464	299828602332
STPT(10)	2573496696388049777	0 2 42 44 72 74 102 104 144 146	460658526936
SPT(16)	2573496968508884641	0 46 48 130 132 136 156 160 168 172 192 196 198 280 282 328	732779361800