Prime p₀= 2081666738380200467 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: Orange Kid
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2081665255045193141	0 2 36 38 78 80 120 122 156 158	-1483335007326
SPT(16)	2081665499479864031	0 26 32 48 56 66 90 108 140 158 182 192 200 216 222 248	-1238900336436
SPT(16)	2081665733287347091	0 10 16 42 106 132 216 276 286 346 430 456 520 546 552 562	-1005092853376
TPT(14)	2081665877128384049	0 2 18 20 138 140 150 152 192 194 198 200 222 224	-861251816418
SPT(16)	2081666424182520883	0 10 30 70 100 144 154 156 184 186 196 240 270 310 330 340	-314197679584
SPT(16)	2081666558104136893	0 30 84 88 94 96 154 156 178 180 238 240 246 250 304 334	-180276063574
STPT(10)	2081667074256539447	0 2 30 32 42 44 54 56 84 86	335876338980
SPT(16)	2081667122250088979	0 2 8 30 48 60 90 132 140 182 212 224 242 264 270 272	383869888512
SPT(16)	2081667499630617803	0 6 20 48 80 90 188 204 260 276 374 384 416 444 458 464	761250417336
TPT(14)	2081667727502744627	0 2 24 26 42 44 114 116 162 164 210 212 234 236	989122544160
STPT(10)	2081668119363551861	0 2 6 8 18 20 30 32 36 38	1380983351394