Prime p₀= 2162068466400554027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2162067179227564067	0 2 30 32 42 44 54 56 84 86	-1287172989960
SPT(16)	2162067454307942969	0 2 12 78 134 140 162 210 272 320 342 348 404 470 480 482	-1012092611058
SPT(16)	2162067469585573351	0 18 58 76 132 208 222 250 258 286 300 376 432 450 490 508	-996814980676
SPT(16)	2162067474443844139	0 60 90 130 132 142 160 162 208 210 228 238 240 280 310 370	-991956709888
TPT(14)	2162068377416224631	0 2 126 128 156 158 186 188 198 200 210 212 258 260	-88984329396
SPT(16)	2162068395763126127	0 14 30 56 62 104 114 176 180 242 252 294 300 326 342 356	-70637427900
SPT(16)	2162068653505487281	0 10 22 36 78 106 142 148 150 156 192 220 262 276 288 298	187104933254
STPT(10)	2162068754504019419	0 2 42 44 60 62 78 80 120 122	288103465392
SPT(16)	2162068806048683659	0 18 28 52 54 64 84 124 168 208 228 238 240 264 274 292	339648129632
TPT(14)	2162068998830008571	0 2 18 20 156 158 216 218 246 248 270 272 330 332	532429454544
STPT(10)	2162069350807474937	0 2 12 14 132 134 252 254 264 266	884406920910