Prime p₀= 2367914491410781631 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 136 2 28 2 88 2 28 2 136 2 (?)
a_n: 0 2 138 140 168 170 258 260 288 290 426 428
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: 428
Found by: arkiss
db: batch=81, k=12, 2 136 2 28 2 88

STPT(10)	2367912606352144079	0 2 48 50 90 92 132 134 180 182	-1885058637552
TPT(14)	2367913038137311601	0 2 66 68 96 98 138 140 180 182 186 188 198 200	-1453273470030
STPT(10)	2367913107882025127	0 2 12 14 72 74 132 134 144 146	-1383528756504
SPT(16)	2367913275044736581	0 50 152 162 218 240 248 336 362 450 458 480 536 546 648 698	-1216366045050
TPT(14)	2367913791111988739	0 2 42 44 72 74 198 200 222 224 300 302 378 380	-700298792892
SPT(16)	2367914178184001333	0 14 54 66 74 150 164 230 264 330 344 420 428 440 480 494	-313226780298
SPT(16)	2367914620672468321	0 18 42 48 76 130 132 150 238 256 258 312 340 346 370 388	129261686690
STPT(10)	2367914737721083007	0 2 30 32 72 74 114 116 144 146	246310301376
SPT(16)	2367915351820816271	0 42 60 92 122 162 242 246 272 276 356 396 426 458 476 518	860410034640
SPT(16)	2367915851672043467	0 14 72 84 90 104 116 152 174 210 222 236 242 254 312 326	1360261261836
SPT(16)	2367916082387603471	0 20 62 72 78 80 92 122 138 168 180 182 188 198 240 260	1590976821840