Prime p₀= 2302983531132310751 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 34 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 126 128 168 170 216 218
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 218
Found by: Orange Kid
db: batch=81, k=12, 2 46 2 40 2 34

SPT(16)	2302982131738670687	0 2 30 42 50 84 92 96 170 174 182 216 224 236 264 266	-1399393640064
STPT(10)	2302982629947753461	0 2 78 80 138 140 198 200 276 278	-901184557290
STPT(10)	2302982662351234637	0 2 54 56 72 74 90 92 144 146	-868781076114
SPT(16)	2302983133960788533	0 38 50 60 78 80 116 140 144 168 204 206 224 234 246 284	-397171522218
STPT(10)	2302983431927009957	0 2 30 32 72 74 114 116 144 146	-99205300794
SPT(16)	2302983457346078209	0 22 82 84 120 132 138 174 268 304 310 322 358 360 420 442	-73786232542
STPT(10)	2302983657639285389	0 2 18 20 30 32 42 44 60 62	126506974638
STPT(10)	2302984045042650239	0 2 48 50 90 92 132 134 180 182	513910339488
SPT(16)	2302985596758765241	0 42 70 72 78 100 102 130 138 166 168 190 196 198 226 268	2065626454490
STPT(10)	2302985655971977157	0 2 24 26 42 44 60 62 84 86	2124839666406
SPT(16)	2302985794281499403	0 14 18 74 98 108 150 168 230 248 290 300 324 380 384 398	2263149188652