Prime p₀= 2531694789957878651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2531692839898803799	0 10 58 64 82 108 142 180 292 330 364 390 408 414 462 472	-1950059074852
STPT(10)	2531692856885665301	0 2 6 8 48 50 90 92 96 98	-1933072213350
SPT(16)	2531693090324892371	0 12 38 48 66 86 96 98 120 122 132 152 170 180 206 218	-1699632986280
SPT(16)	2531693278984624211	0 32 42 92 108 150 198 228 230 260 308 350 366 416 426 458	-1510973254440
STPT(10)	2531693486803829441	0 2 30 32 60 62 90 92 120 122	-1303154049210
STPT(10)	2531693623438450481	0 2 6 8 48 50 90 92 96 98	-1166519428170
STPT(10)	2531694923693027777	0 2 24 26 42 44 60 62 84 86	133735149126
SPT(16)	2531695131514087283	0 8 38 50 54 68 120 138 176 194 246 260 264 276 306 314	341556208632
STPT(10)	2531695214649210521	0 2 6 8 18 20 30 32 36 38	424691331870
SPT(16)	2531695331599381609	0 12 22 30 78 82 88 90 112 114 120 124 172 180 190 202	541641502958
TPT(14)	2531695583517757049	0 2 72 74 222 224 288 290 378 380 402 404 420 422	793559878398