Prime p₀= 2091082123835625629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	2091080760166763537	0 2 42 44 72 74 102 104 144 146	-1363668862092
SPT(16)	2091080785155994573	0 16 18 30 60 76 100 148 168 216 240 256 286 298 300 316	-1338679631056
SPT(16)	2091080789453707133	0 26 140 146 158 164 174 180 194 200 210 216 228 234 348 374	-1334381918496
SPT(16)	2091081420357176147	0 14 32 54 80 84 92 140 186 234 242 246 272 294 312 326	-703478449482
STPT(10)	2091081926658464357	0 2 72 74 102 104 132 134 204 206	-197177161272
STPT(10)	2091081957172334249	0 2 12 14 30 32 48 50 60 62	-166663291380
SPT(16)	2091082424624413067	0 24 42 44 60 86 116 122 144 150 180 206 222 224 242 266	300788787438
SPT(16)	2091083710045410211	0 6 18 28 40 126 178 186 280 288 340 426 438 448 460 466	1586209784582
SPT(16)	2091083722784050853	0 8 18 26 36 84 138 140 144 146 200 248 258 266 276 284	1598948425224
SPT(16)	2091083832875292023	0 6 14 20 54 80 90 114 266 290 300 326 360 366 374 380	1709039666394
SPT(16)	2091083844723630739	0 10 48 64 90 108 142 162 280 300 334 352 378 394 432 442	1720888005110