Prime p₀= 2725812524310490001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2725811009128460041	0 18 132 138 148 222 228 246 262 280 286 360 370 376 490 508	-1515182029960
STPT(10)	2725811314951187147	0 2 24 26 42 44 60 62 84 86	-1209359302854
SPT(16)	2725811588590542689	0 20 32 54 90 144 210 212 282 284 350 404 440 462 474 494	-935719947312
TPT(14)	2725811778749261549	0 2 48 50 72 74 90 92 228 230 252 254 408 410	-745561228452
STPT(10)	2725812163749321677	0 2 30 32 60 62 90 92 120 122	-360561168324
SPT(16)	2725812213107084687	0 42 60 66 92 104 134 152 174 192 222 234 260 266 284 326	-311203405314
SPT(16)	2725812642072792907	0 24 46 70 94 162 196 214 252 270 304 372 396 420 442 466	117762302906
STPT(10)	2725813461865157687	0 2 72 74 102 104 132 134 204 206	937554667686
SPT(16)	2725814254426022801	0 20 26 56 66 90 108 116 132 140 158 182 192 222 228 248	1730115532800
SPT(16)	2725814439980518013	0 8 30 54 56 78 138 156 248 266 326 348 350 374 396 404	1915670028012
TPT(14)	2725814541311464151	0 2 90 92 150 152 306 308 360 362 378 380 390 392	2017000974150