Prime p₀= 2098645594215255359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 34 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 108 110 138 140 180 182
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: 182
Found by: Landjunge
db: batch=80, k=12, 2 40 2 28 2 34

STPT(10)	2098643591272607681	0 2 30 32 78 80 126 128 156 158	-2002942647678
SPT(16)	2098643711996629669	0 28 42 82 130 160 202 222 280 300 342 372 420 460 474 502	-1882218625690
SPT(16)	2098645020191139467	0 36 50 56 62 132 134 144 302 312 314 384 390 396 410 446	-574024115892
STPT(10)	2098645038826315919	0 2 18 20 30 32 42 44 60 62	-555388939440
STPT(10)	2098645405821803099	0 2 18 20 30 32 42 44 60 62	-188393452260
SPT(16)	2098645433311136803	0 18 64 118 186 196 216 240 274 298 318 328 396 450 496 514	-160904118556
SPT(16)	2098646174043571907	0 20 54 80 96 146 150 164 216 230 234 284 300 326 360 380	579828316548
SPT(16)	2098646558253725969	0 24 114 128 188 228 234 312 320 398 404 444 504 518 608 632	964038470610
STPT(10)	2098646647073688377	0 2 30 32 42 44 54 56 84 86	1052858433018
STPT(10)	2098646755232470697	0 2 42 44 72 74 102 104 144 146	1161017215338
STPT(10)	2098646777891490509	0 2 12 14 90 92 168 170 180 182	1183676235150