Prime p₀= 2377803128304554747 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: Xenon
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2377802530192414121	0 2 18 20 156 158 186 188 210 212 276 278 318 320	-598112140626
STPT(10)	2377802795748316589	0 2 30 32 120 122 210 212 240 242	-332556238158
TPT(14)	2377802817691085621	0 2 126 128 156 158 270 272 306 308 378 380 468 470	-310613469126
SPT(16)	2377802923382564927	0 6 30 32 72 140 144 152 174 182 186 254 294 296 320 326	-204921989820
SPT(16)	2377802926828258207	0 10 36 82 90 102 124 126 130 132 154 166 174 220 246 256	-201476296540
STPT(10)	2377803068275281641	0 2 36 38 78 80 120 122 156 158	-60029273106
SPT(16)	2377803397486866277	0 36 84 90 102 132 144 162 244 262 274 304 316 322 370 406	269182311530
SPT(16)	2377804299374301079	0 22 34 52 72 78 84 118 144 178 184 190 210 228 240 262	1171069746332
STPT(10)	2377804394501609831	0 2 6 8 18 20 30 32 36 38	1266197055084
SPT(16)	2377804895917926571	0 6 10 28 46 52 88 90 148 150 186 192 210 228 232 238	1767613371824
SPT(16)	2377805144144800283	0 144 156 176 198 210 218 224 330 336 344 356 378 398 410 554	2015840245536