Prime p₀= 2302270756322442317 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: FritzB
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2302269066487373941	0 40 70 72 88 90 100 132 136 168 178 180 196 198 228 268	-1689835068376
SPT(16)	2302269228308060441	0 30 50 66 72 108 110 122 126 138 140 176 182 198 218 248	-1528014381876
SPT(16)	2302269535502565947	0 6 24 42 110 194 236 272 324 360 402 486 554 572 590 596	-1220819876370
SPT(16)	2302269813749910857	0 14 24 90 186 206 216 240 266 290 300 320 416 482 492 506	-942572531460
STPT(10)	2302270074501242381	0 2 6 8 48 50 90 92 96 98	-681821199936
STPT(10)	2302270190930731949	0 2 48 50 90 92 132 134 180 182	-565391710368
TPT(14)	2302270835976021269	0 2 30 32 60 62 168 170 210 212 228 230 270 272	79653578952
STPT(10)	2302271020010594069	0 2 48 50 90 92 132 134 180 182	263688151752
SPT(16)	2302271081440797781	0 28 30 40 48 100 112 118 150 156 168 220 228 238 240 268	325118355464
STPT(10)	2302271427787723121	0 2 36 38 78 80 120 122 156 158	671465280804
TPT(14)	2302271751185471519	0 2 42 44 102 104 108 110 150 152 180 182 192 194	994863029202