Prime p₀= 2378676686452775237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2378674263374066921	0 2 6 8 48 50 90 92 96 98	-2423078708316
TPT(14)	2378674850058548537	0 2 72 74 144 146 150 152 210 212 234 236 240 242	-1836394226700
SPT(16)	2378674999219658747	0 12 14 62 72 86 104 110 216 222 240 254 264 312 314 326	-1687233116490
STPT(10)	2378675052148437797	0 2 30 32 42 44 54 56 84 86	-1634304337440
SPT(16)	2378675357993162051	0 20 38 98 108 126 140 150 176 186 200 218 228 288 306 326	-1328459613186
SPT(16)	2378675913174025169	0 8 14 20 42 48 50 74 78 102 104 110 132 138 144 152	-773278750068
STPT(10)	2378676798073199357	0 2 24 26 42 44 60 62 84 86	111620424120
STPT(10)	2378677929540495731	0 2 36 38 78 80 120 122 156 158	1243087720494
STPT(10)	2378677938049644557	0 2 42 44 72 74 102 104 144 146	1251596869320
SPT(16)	2378678462489702449	0 42 70 72 82 102 112 142 168 198 208 228 238 240 268 310	1776036927212
STPT(10)	2378678652033482759	0 2 30 32 120 122 210 212 240 242	1965580707522