Prime p₀= 2875757431186571597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2875756455808714927	0 12 22 42 52 72 96 100 246 250 274 294 304 324 334 346	-975377856670
SPT(16)	2875756651129989421	0 6 12 42 58 72 112 126 172 186 226 240 256 286 292 298	-780056582176
STPT(10)	2875756834034668931	0 2 6 8 48 50 90 92 96 98	-597151902666
SPT(16)	2875756986870153019	0 28 58 60 118 154 168 190 252 274 288 324 382 384 414 442	-444316418578
TPT(14)	2875757021184816779	0 2 162 164 168 170 288 290 330 332 348 350 390 392	-410001754818
SPT(16)	2875757077750061591	0 6 42 92 126 158 198 210 218 230 270 302 336 386 422 428	-353436510006
TPT(14)	2875757454486821321	0 2 156 158 216 218 378 380 396 398 438 440 468 470	23300249724
TPT(14)	2875757509525136177	0 2 54 56 60 62 102 104 144 146 264 266 342 344	78338564580
STPT(10)	2875757872534343747	0 2 30 32 42 44 54 56 84 86	441347772150
STPT(10)	2875758204706042217	0 2 42 44 72 74 102 104 144 146	773519470620
STPT(10)	2875758226808192027	0 2 30 32 42 44 54 56 84 86	795621620430