Prime p₀= 2036799113231017547 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2036798042729602457	0 2 30 32 42 44 54 56 84 86	-1070501415090
SPT(16)	2036798079631944757	0 30 42 64 94 112 142 172 174 204 234 252 282 304 316 346	-1033599072790
SPT(16)	2036798701389058333	0 46 108 150 160 168 174 216 238 280 286 294 304 346 408 454	-411841959214
STPT(10)	2036798938565212397	0 2 30 32 120 122 210 212 240 242	-174665805150
SPT(16)	2036799008791958431	0 10 16 96 142 196 250 262 270 282 336 390 436 516 522 532	-104439059116
SPT(16)	2036799092031270029	0 84 138 150 198 204 240 248 294 302 338 344 392 404 458 542	-21199747518
SPT(16)	2036799229208408107	0 4 6 10 34 94 130 132 154 156 192 252 276 280 282 286	115977390560
STPT(10)	2036799282941231927	0 2 24 26 42 44 60 62 84 86	169710214380
STPT(10)	2036799295408066841	0 2 36 38 78 80 120 122 156 158	182177049294
STPT(10)	2036799672533977409	0 2 42 44 60 62 78 80 120 122	559302959862
SPT(16)	2036800150183413389	0 8 20 78 90 98 102 140 180 218 222 230 242 300 312 320	1036952395842