Prime p₀= 2309369857323135791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Vato
db: batch=81, k=10, 2 28 2 28 2

TPT(14)	2309368239407585537	0 2 24 26 102 104 150 152 192 194 240 242 294 296	-1617915550254
SPT(16)	2309368326894328123	0 28 58 78 84 114 154 216 238 300 340 370 376 396 426 454	-1530428807668
TPT(14)	2309368865778209507	0 2 60 62 72 74 150 152 192 194 264 266 312 314	-991544926284
SPT(16)	2309369216236113079	0 12 24 34 42 54 112 174 178 240 298 310 318 328 340 352	-641087022712
SPT(16)	2309369479166222651	0 8 36 62 146 150 260 278 330 348 458 462 546 572 600 608	-378156913140
STPT(10)	2309369828279389607	0 2 30 32 42 44 54 56 84 86	-29043746184
STPT(10)	2309369996539584437	0 2 30 32 42 44 54 56 84 86	139216448646
STPT(10)	2309370252701286959	0 2 30 32 60 62 90 92 120 122	395378151168
STPT(10)	2309370896964668189	0 2 72 74 120 122 168 170 240 242	1039641532398
SPT(16)	2309370902031769141	0 40 42 76 96 118 126 130 168 172 180 202 222 256 258 298	1044708633350
SPT(16)	2309370916136370553	0 10 46 48 88 106 108 126 130 148 150 168 208 210 246 256	1058813234762