Prime p₀= 876944797603698137 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: [AF>Libristes]Maeda
db: batch=73, k=12, 2 10 2 16 2 22

STPT(10)	876944196372586787	0 2 30 32 42 44 54 56 84 86	-601231111350
SPT(16)	876944262548697389	0 8 12 14 48 50 102 128 144 170 222 224 258 260 264 272	-535055000748
SPT(16)	876944297169990031	0 30 36 78 82 108 178 190 198 210 280 306 310 352 358 388	-500433708106
SPT(16)	876944436354194029	0 22 70 78 148 150 184 220 222 258 292 294 364 372 420 442	-361249504108
STPT(10)	876944545952222777	0 2 30 32 42 44 54 56 84 86	-251651475360
SPT(16)	876944768211462229	0 42 88 112 130 138 144 160 192 208 214 222 240 264 310 352	-29392235908
STPT(10)	876944870813504159	0 2 18 20 30 32 42 44 60 62	73209806022
SPT(16)	876945049212385861	0 12 52 70 88 112 130 222 268 360 378 402 420 438 478 490	251608687724
STPT(10)	876945050023204817	0 2 30 32 72 74 114 116 144 146	252419506680
SPT(16)	876945419674697809	0 22 28 42 60 64 78 148 174 244 258 262 280 294 300 322	622070999672
TPT(16)	876945486868330247	0 2 54 56 60 62 144 146 174 176 264 266 294 296 300 302	689264632110