Prime p₀= 2709165341310521297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2709163622977591301	0 20 42 62 90 132 140 146 156 162 170 212 240 260 282 302	-1718332929996
STPT(10)	2709163894456509377	0 2 30 32 42 44 54 56 84 86	-1446854011920
SPT(16)	2709163953638813039	0 14 20 78 120 134 162 218 234 290 318 332 374 432 438 452	-1387671708258
STPT(10)	2709164072657343941	0 2 6 8 48 50 90 92 96 98	-1268653177356
SPT(16)	2709164245691849279	0 32 38 42 68 80 98 102 140 144 162 174 200 204 210 242	-1095618672018
SPT(13)	2709164971820847193	0 24 30 54 114 150 174 198 234 294 318 324 348	-369489674104
STPT(10)	2709165581695797797	0 2 60 62 72 74 84 86 144 146	240385276500
SPT(16)	2709166009117783889	0 84 102 104 144 168 258 260 282 284 374 398 438 440 458 542	667807262592
SPT(16)	2709166673678541187	0 34 42 46 90 94 114 124 312 322 342 346 390 394 402 436	1332368019890
SPT(16)	2709167286496446247	0 76 112 150 154 162 294 316 420 442 574 582 586 624 660 736	1945185924950
SPT(16)	2709167332903228853	0 24 38 66 78 120 194 200 294 300 374 416 428 456 470 494	1991592707556