Prime p₀= 2291146183725485477 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2291145252202146811	0 30 66 72 108 118 120 132 136 148 150 160 196 202 238 268	-931523338666
STPT(10)	2291145332490260357	0 2 42 44 72 74 102 104 144 146	-851235225120
STPT(10)	2291145515262329777	0 2 72 74 102 104 132 134 204 206	-668463155700
SPT(16)	2291145540610353179	0 8 12 30 42 74 110 120 152 162 198 230 242 260 264 272	-643115132298
STPT(10)	2291145760148453627	0 2 42 44 72 74 102 104 144 146	-423577031850
STPT(10)	2291145855337782809	0 2 42 44 60 62 78 80 120 122	-328387702668
STPT(10)	2291146317564493799	0 2 12 14 90 92 168 170 180 182	133839008322
SPT(16)	2291146570082018689	0 24 82 118 120 150 160 190 192 222 232 262 264 300 358 382	386356533212
SPT(16)	2291146675013832463	0 36 46 60 76 126 144 174 226 256 274 324 340 354 364 400	491288346986
STPT(10)	2291146804027134197	0 2 42 44 72 74 102 104 144 146	620301648720
STPT(10)	2291146806468021107	0 2 12 14 72 74 132 134 144 146	622742535630