Prime p₀= 2250699446346173699 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: JayPi
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2250698526659078297	0 72 74 86 102 162 194 282 284 372 404 464 480 492 494 566	-919687095402
STPT(10)	2250698593624376141	0 2 36 38 78 80 120 122 156 158	-852721797558
SPT(16)	2250698764307184377	0 2 42 90 110 120 134 162 272 300 314 324 344 392 432 434	-682038989322
SPT(16)	2250698795516893979	0 12 14 38 54 78 90 104 138 152 164 188 204 228 230 242	-650829279720
STPT(10)	2250698890705341689	0 2 18 20 30 32 42 44 60 62	-555640832010
SPT(16)	2250699389713599949	0 24 28 34 54 78 130 138 160 168 220 244 264 270 274 298	-56632573750
STPT(10)	2250699481059195707	0 2 90 92 102 104 114 116 204 206	34713022008
SPT(16)	2250699756998394673	0 46 66 90 174 184 186 220 234 268 270 280 364 388 408 454	310652220974
SPT(16)	2250700035593159849	0 80 90 114 122 132 180 200 264 284 332 342 350 374 384 464	589246986150
SPT(16)	2250700037504715781	0 36 52 66 70 102 150 162 196 208 256 288 292 306 322 358	591158542082
STPT(10)	2250700090534911929	0 2 42 44 90 92 138 140 180 182	644188738230