Prime p₀= 3799867646234350721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: SEARCHER
db: batch=84, k=10, 2 28 2 28 2

SPT(16)	3799866698405272777	0 22 24 90 100 162 174 240 274 340 352 414 424 490 492 514	-947829077944
STPT(10)	3799867015715555957	0 2 42 44 72 74 102 104 144 146	-630518794764
STPT(10)	3799867050999936911	0 2 36 38 78 80 120 122 156 158	-595234413810
STPT(10)	3799867178200931939	0 2 12 14 90 92 168 170 180 182	-468033418782
SPT(16)	3799867490040702001	0 22 36 60 96 108 138 172 186 220 250 262 298 322 336 358	-156193648720
STPT(10)	3799867577021822651	0 2 36 38 78 80 120 122 156 158	-69212528070
SPT(16)	3799868124376880903	0 8 14 44 78 110 114 116 138 140 144 176 210 240 246 254	478142530182
TPT(14)	3799868223351242459	0 2 18 20 42 44 48 50 72 74 132 134 258 260	577116891738
STPT(10)	3799868269602162089	0 2 48 50 90 92 132 134 180 182	623367811368
SPT(16)	3799868324763389881	0 10 16 22 30 46 60 88 90 118 132 148 156 162 168 178	678529039160
STPT(10)	3799868446073395481	0 2 30 32 60 62 90 92 120 122	799839044760