Prime p₀= 2617126216005474359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: Dirk Broer
db: batch=82, k=12, 2 28 2 28 2 76

SPT(16)	2617125058629702281	0 36 62 86 90 126 138 152 156 170 182 218 222 246 272 308	-1157375772078
SPT(16)	2617125110880618553	0 10 36 78 90 180 190 220 234 264 274 364 376 418 444 454	-1105124855806
STPT(10)	2617125412229497217	0 2 42 44 72 74 102 104 144 146	-803775977142
STPT(10)	2617125543788928167	0 2 30 32 72 74 114 116 144 146	-672216546192
SPT(16)	2617125761372421763	0 18 36 88 126 154 198 214 270 286 330 358 396 448 466 484	-454633052596
SPT(16)	2617126006425744167	0 12 14 32 50 54 102 104 132 134 182 186 204 222 224 236	-209579730192
STPT(10)	2617126248769669667	0 2 30 32 60 62 90 92 120 122	32764195308
SPT(16)	2617126250247092039	0 14 24 60 68 92 102 140 162 200 210 234 242 278 288 302	34241617680
STPT(10)	2617126733259708287	0 2 90 92 102 104 114 116 204 206	517254233928
SPT(16)	2617128121277840789	0 42 50 62 80 132 210 230 234 254 332 384 402 414 422 464	1905272366430
SPT(16)	2617128326437996003	0 6 66 70 84 96 120 136 138 154 178 190 204 208 268 274	2110432521644