Prime p₀= 2852163341539188359 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: vladimir
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2852162663973997027	0 12 52 66 76 96 106 120 196 210 220 240 250 264 304 316	-677565191332
STPT(10)	2852162732721056717	0 2 30 32 42 44 54 56 84 86	-608818131642
SPT(16)	2852162900136875197	0 4 10 22 34 52 60 120 136 196 204 222 234 246 252 256	-441402313162
SPT(16)	2852163258661420343	0 24 38 44 104 128 138 194 210 266 276 300 360 366 380 404	-82877768016
TPT(14)	2852163273255345197	0 2 24 26 192 194 210 212 252 254 264 266 414 416	-68283843162
STPT(10)	2852163326693675507	0 2 60 62 102 104 144 146 204 206	-14845512852
SPT(16)	2852163436703604449	0 2 44 72 90 200 210 222 242 254 264 374 392 420 462 464	95164416090
SPT(16)	2852163663711286349	0 24 50 54 84 98 104 120 152 168 174 188 218 222 248 272	322172097990
SPT(16)	2852164517577000541	0 6 12 42 76 90 102 126 142 166 178 192 226 256 262 268	1176037812182
SPT(16)	2852165039361844331	0 20 26 30 66 72 90 146 192 248 266 272 308 312 318 338	1697822655972
STPT(10)	2852165131631996231	0 2 6 8 18 20 30 32 36 38	1790092807872