Prime p₀= 2868815080847293769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: arkiss
db: batch=82, k=10, 2 40 2 76 2

SPT(20)	2868813908966757049	0 22 30 60 124 148 180 228 240 268 294 322 334 382 414 438 502 532 540 562	-1171880536720
STPT(10)	2868813911649139847	0 2 30 32 42 44 54 56 84 86	-1169198153922
SPT(16)	2868814464568516909	0 78 84 90 130 148 250 288 340 378 480 498 538 544 550 628	-616278776860
SPT(16)	2868814543162238771	0 20 36 48 50 126 140 146 162 168 182 258 260 272 288 308	-537685054998
SPT(16)	2868814815468695677	0 16 22 30 114 156 184 244 282 342 370 412 496 504 510 526	-265378598092
SPT(16)	2868815002399044827	0 30 42 72 134 146 182 204 212 234 270 282 344 374 386 416	-78448248942
SPT(16)	2868815119538089789	0 28 58 60 82 84 90 138 244 292 298 300 322 324 354 382	38690796020
SPT(16)	2868815252798317369	0 28 54 82 84 88 114 138 154 178 204 208 210 238 264 292	171951023600
SPT(16)	2868815337837112903	0 4 64 78 114 144 156 180 214 238 250 280 316 330 390 394	256989819134
SPT(16)	2868815429454386921	0 20 26 56 60 78 108 122 246 260 290 308 312 342 348 368	348607093152
STPT(10)	2868815430659429567	0 2 30 32 42 44 54 56 84 86	349812135798