Prime p₀= 2423393337277818767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 88 2

SPT(16)	2423390816488437857	0 12 66 96 120 144 152 162 164 174 182 206 230 260 314 326	-2520789380910
STPT(10)	2423391125693243897	0 2 42 44 72 74 102 104 144 146	-2211584574870
SPT(16)	2423391345113693209	0 28 40 78 100 124 168 180 208 220 264 288 310 348 360 388	-1992164125558
SPT(20)	2423392204748378827	0 6 12 40 42 52 64 66 96 126 130 160 190 192 204 214 216 244 250 256	-1132529439940
STPT(10)	2423392500905836697	0 2 12 14 42 44 72 74 84 86	-836371982070
SPT(16)	2423392938990518279	0 2 24 32 72 110 122 144 218 240 252 290 330 338 360 362	-398287300488
SPT(16)	2423393418564633217	0 10 84 120 150 174 196 202 234 240 262 286 316 352 426 436	81286814450
STPT(10)	2423393617701864257	0 2 72 74 102 104 132 134 204 206	280424045490
SPT(16)	2423393678212941349	0 18 40 60 82 84 112 144 178 210 238 240 262 282 304 322	340935122582
STPT(10)	2423394014897324879	0 2 12 14 90 92 168 170 180 182	677619506112
STPT(10)	2423394084576886571	0 2 126 128 138 140 150 152 276 278	747299067804