Prime p₀= 2858289593447262647 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 118 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 192 194 234 236 264 266
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: 266
Found by: Landjunge
db: batch=82, k=12, 2 28 2 40 2 118

STPT(10)	2858287036608364721	0 2 6 8 48 50 90 92 96 98	-2556838897926
SPT(16)	2858287061006772179	0 2 14 24 32 42 44 102 122 180 182 192 200 210 222 224	-2532440490468
SPT(16)	2858287150603672211	0 102 110 138 146 180 218 222 266 270 308 342 350 378 386 488	-2442843590436
STPT(10)	2858287181089983161	0 2 36 38 78 80 120 122 156 158	-2412357279486
STPT(10)	2858287903271335901	0 2 36 38 78 80 120 122 156 158	-1690175926746
SPT(16)	2858287964745284009	0 12 14 30 44 50 54 60 152 158 162 168 182 198 200 212	-1628701978638
SPT(16)	2858289786894129563	0 24 86 150 174 240 248 266 288 306 314 380 404 468 530 554	193446866916
SPT(16)	2858289810313291961	0 6 18 48 60 68 90 96 110 116 138 146 158 188 200 206	216866029314
STPT(10)	2858289829601212547	0 2 30 32 72 74 114 116 144 146	236153949900
SPT(18)	2858290104040754309	0 54 68 104 110 128 212 222 224 288 290 300 384 402 408 444 458 512	510593491662
SPT(16)	2858290420146349511	0 12 32 38 60 108 176 182 246 252 320 368 390 396 416 428	826699086864