Prime p₀= 2796368803548295889 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 58 2 34 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 138 140 198 200 240 242
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: 242
Found by: JayPi
db: batch=82, k=12, 2 40 2 58 2 34

STPT(10)	2796367565864602781	0 2 6 8 18 20 30 32 36 38	-1237683693108
SPT(16)	2796367587752781169	0 12 40 78 88 138 162 178 222 238 262 312 322 360 388 400	-1215795514720
STPT(10)	2796367811872257167	0 2 30 32 42 44 54 56 84 86	-991676038722
SPT(16)	2796368253176900429	0 18 32 104 132 158 200 222 230 252 294 320 348 420 434 452	-550371395460
SPT(16)	2796368337424093667	0 20 26 42 44 152 156 176 180 200 204 312 314 330 336 356	-466124202222
SPT(16)	2796368627136546299	0 14 18 78 80 104 210 242 360 392 498 522 524 584 588 602	-176411749590
TPT(14)	2796369010190681837	0 2 42 44 72 74 114 116 240 242 270 272 354 356	206642385948
STPT(10)	2796369401798816267	0 2 54 56 72 74 90 92 144 146	598250520378
STPT(10)	2796370135735927571	0 2 6 8 18 20 30 32 36 38	1332187631682
STPT(10)	2796370799556707999	0 2 138 140 150 152 162 164 300 302	1996008412110
SPT(16)	2796371177098515461	0 60 86 90 110 146 156 158 240 242 252 288 308 312 338 398	2373550219572