Prime p₀= 2666130072896955479 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: Groo
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2666128253495720071	0 18 48 112 126 190 268 282 286 300 378 442 456 520 550 568	-1819401235408
SPT(16)	2666128501731979309	0 54 64 78 82 90 130 132 280 282 322 330 334 348 358 412	-1571164976170
SPT(16)	2666128927103816143	0 16 28 40 60 88 90 118 126 154 156 184 204 216 228 244	-1145793139336
STPT(10)	2666129289173646677	0 2 54 56 132 134 210 212 264 266	-783723308802
STPT(10)	2666129346992453057	0 2 42 44 72 74 102 104 144 146	-725904502422
STPT(10)	2666129850102415517	0 2 60 62 72 74 84 86 144 146	-222794539962
TPT(14)	2666130118683472037	0 2 84 86 102 104 114 116 174 176 210 212 240 242	45786516558
STPT(10)	2666130391530594797	0 2 90 92 132 134 174 176 264 266	318633639318
SPT(16)	2666130564232834999	0 24 48 70 72 114 138 172 180 214 238 280 282 304 328 352	491335879520
STPT(10)	2666130970365069407	0 2 30 32 72 74 114 116 144 146	897468113928
SPT(16)	2666130974240195513	0 8 24 86 104 140 146 168 206 228 234 270 288 350 366 374	901343240034