Prime p₀= 2807585467558823837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2807584328168714167	0 16 30 36 82 112 150 154 162 166 204 234 280 286 300 316	-1139390109670
SPT(16)	2807584637829071671	0 30 36 90 96 156 160 162 250 252 256 316 322 376 382 412	-829729752166
SPT(16)	2807584944601023203	0 24 128 138 200 224 266 288 326 348 390 414 476 486 590 614	-522957800634
SPT(16)	2807584970693023753	0 4 36 40 66 130 138 166 168 196 204 268 294 298 330 334	-496865800084
SPT(16)	2807585013273860279	0 18 38 48 78 152 180 194 258 272 300 374 404 414 434 452	-454284963558
SPT(16)	2807585296780473883	0 48 70 90 114 154 168 198 280 310 324 364 388 408 430 478	-170778349954
SPT(16)	2807585719837207597	0 36 112 124 142 162 186 210 226 250 274 294 312 324 400 436	252278383760
SPT(16)	2807585886920131693	0 28 34 76 166 168 180 204 220 244 256 258 348 390 396 424	419361307856
STPT(10)	2807586218291764079	0 2 42 44 60 62 78 80 120 122	750732940242
SPT(16)	2807586457733678603	0 36 38 50 104 156 164 168 176 180 188 240 294 306 308 344	990174854766
STPT(10)	2807586670451522147	0 2 24 26 42 44 60 62 84 86	1202892698310