Prime p₀= 2309369828279389607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Vato
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2309368189132771759	0 28 132 172 198 238 252 258 292 298 312 352 378 418 522 550	-1639146617848
TPT(14)	2309368239407585537	0 2 24 26 102 104 150 152 192 194 240 242 294 296	-1588871804070
SPT(16)	2309368326894328123	0 28 58 78 84 114 154 216 238 300 340 370 376 396 426 454	-1501385061484
TPT(14)	2309368865778209507	0 2 60 62 72 74 150 152 192 194 264 266 312 314	-962501180100
SPT(16)	2309369216236113079	0 12 24 34 42 54 112 174 178 240 298 310 318 328 340 352	-612043276528
SPT(16)	2309369479166222651	0 8 36 62 146 150 260 278 330 348 458 462 546 572 600 608	-349113166956
STPT(10)	2309369857323135791	0 2 30 32 60 62 90 92 120 122	29043746184
STPT(10)	2309369996539584437	0 2 30 32 42 44 54 56 84 86	168260194830
STPT(10)	2309370252701286959	0 2 30 32 60 62 90 92 120 122	424421897352
STPT(10)	2309370896964668189	0 2 72 74 120 122 168 170 240 242	1068685278582
SPT(16)	2309370902031769141	0 40 42 76 96 118 126 130 168 172 180 202 222 256 258 298	1073752379534