Prime p₀= 2291146317564493799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2291145332490260357	0 2 42 44 72 74 102 104 144 146	-985074233442
STPT(10)	2291145515262329777	0 2 72 74 102 104 132 134 204 206	-802302164022
SPT(16)	2291145540610353179	0 8 12 30 42 74 110 120 152 162 198 230 242 260 264 272	-776954140620
STPT(10)	2291145760148453627	0 2 42 44 72 74 102 104 144 146	-557416040172
STPT(10)	2291145855337782809	0 2 42 44 60 62 78 80 120 122	-462226710990
STPT(10)	2291146183725485477	0 2 30 32 42 44 54 56 84 86	-133839008322
SPT(16)	2291146570082018689	0 24 82 118 120 150 160 190 192 222 232 262 264 300 358 382	252517524890
SPT(16)	2291146675013832463	0 36 46 60 76 126 144 174 226 256 274 324 340 354 364 400	357449338664
STPT(10)	2291146804027134197	0 2 42 44 72 74 102 104 144 146	486462640398
STPT(10)	2291146806468021107	0 2 12 14 72 74 132 134 144 146	488903527308
TPT(16)	2291147123779829297	0 2 12 14 24 26 90 92 132 134 162 164 204 206 210 212	806215335498