Prime p₀= 2363031374258514389 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 82 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 132 134 138 140 180 182
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: 182
Found by: suriv
db: batch=81, k=12, 2 40 2 4 2 82

SPT(16)	2363029337029144403	0 14 74 110 114 144 146 156 158 168 170 200 204 240 300 314	-2037229369986
STPT(10)	2363029784521503257	0 2 30 32 42 44 54 56 84 86	-1589737011132
STPT(10)	2363030028729483257	0 2 42 44 72 74 102 104 144 146	-1345529031132
SPT(18)	2363030271729811771	0 42 76 112 208 216 222 250 262 306 318 346 352 360 456 492 526 568	-1102528702618
STPT(10)	2363030277434817239	0 2 18 20 30 32 42 44 60 62	-1096823697150
SPT(16)	2363031084337781111	0 2 8 18 42 50 56 72 86 102 108 116 140 150 156 158	-289920733278
TPT(14)	2363031468874960769	0 2 12 14 30 32 42 44 72 74 90 92 132 134	94616446380
SPT(16)	2363031560903156287	0 6 36 40 84 100 130 166 204 240 270 286 330 334 364 370	186644641898
SPT(16)	2363031758457169559	0 18 48 78 90 152 198 218 264 284 330 392 404 434 464 482	384198655170
STPT(10)	2363031950144799539	0 2 12 14 90 92 168 170 180 182	575886285150
STPT(10)	2363032120200915377	0 2 30 32 42 44 54 56 84 86	745942400988