Prime p₀= 2649467643689900849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: biodoc
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2649466415327062339	0 10 22 42 54 78 94 120 172 198 214 238 250 270 282 292	-1228362838510
TPT(14)	2649466456332161699	0 2 30 32 78 80 102 104 132 134 198 200 312 314	-1187357739150
SPT(16)	2649467021678154287	0 42 54 120 122 140 152 206 210 264 276 294 296 362 374 416	-622011746562
SPT(16)	2649467089744910353	0 58 88 100 106 120 130 150 154 174 184 198 204 216 246 304	-553944990496
TPT(14)	2649467124976660619	0 2 42 44 78 80 120 122 138 140 198 200 252 254	-518713240230
SPT(18)	2649467188336828289	0 20 44 50 78 104 132 134 180 212 258 260 288 314 342 348 372 392	-455353072560
STPT(10)	2649467683393559381	0 2 78 80 108 110 138 140 216 218	39703658532
STPT(12)	2649467980432763129	0 2 78 80 90 92 120 122 132 134 210 212	336742862280
TPT(16)	2649468155054892539	0 2 18 20 42 44 132 134 168 170 300 302 348 350 390 392	511364991690
SPT(16)	2649468257819400971	0 6 32 38 150 156 186 200 258 272 302 308 420 426 452 458	614129500122
STPT(10)	2649468706753520957	0 2 30 32 42 44 54 56 84 86	1063063620108