Prime p₀= 2453258500903358147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2453257098037696997	0 2 12 14 72 74 132 134 144 146	-1402865661150
STPT(10)	2453257644886202501	0 2 6 8 48 50 90 92 96 98	-856017155646
SPT(16)	2453257799923026751	0 6 78 90 100 106 142 162 286 306 342 348 358 370 442 448	-700980331396
STPT(10)	2453257840783235537	0 2 84 86 102 104 120 122 204 206	-660120122610
SPT(16)	2453257855874541119	0 54 78 108 138 152 158 242 270 354 360 374 404 434 458 512	-645028817028
SPT(16)	2453258201338623061	0 28 36 42 66 78 118 126 172 180 220 232 256 262 270 298	-299564735086
STPT(10)	2453258779294842557	0 2 54 56 132 134 210 212 264 266	278391484410
TPT(14)	2453258924105733167	0 2 12 14 30 32 90 92 114 116 144 146 180 182	423202375020
SPT(16)	2453259081709963927	0 12 22 54 64 72 100 144 190 234 262 270 280 312 322 334	580806605780
SPT(16)	2453259653468948959	0 22 40 48 90 214 222 280 312 370 378 502 544 552 570 592	1152565590812
TPT(14)	2453259703387860359	0 2 42 44 102 104 150 152 168 170 192 194 210 212	1202484502212