Prime p₀= 2670823870153252277 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 16 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 90 92 102 104 162 164
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: 164
Found by: JayPi
db: batch=82, k=12, 2 58 2 10 2 16

SPT(16)	2670822427155192763	0 18 88 90 96 144 148 154 180 186 190 238 244 246 316 334	-1442998059514
SPT(16)	2670822428629810813	0 40 46 96 100 130 144 166 168 190 204 234 238 288 294 334	-1441523441464
SPT(16)	2670823068513263827	0 4 42 132 150 174 202 226 270 294 322 346 364 454 492 496	-801639988450
SPT(16)	2670823394162811499	0 28 30 54 100 112 120 178 264 322 330 342 388 412 414 442	-475990440778
SPT(16)	2670823522382444711	0 6 18 66 86 140 162 218 240 296 318 372 392 440 452 458	-347770807566
STPT(10)	2670823543973240471	0 2 6 8 48 50 90 92 96 98	-326180011806
SPT(16)	2670823907398332019	0 24 28 64 90 102 130 132 250 252 280 292 318 354 358 382	37245079742
STPT(10)	2670823941450121781	0 2 30 32 78 80 126 128 156 158	71296869504
SPT(16)	2670823993127230373	0 20 26 90 98 108 114 116 138 140 146 156 164 228 234 254	122973978096
SPT(16)	2670824168889873173	0 48 60 78 108 144 168 198 260 290 314 350 380 398 410 458	298736620896
STPT(10)	2670824298581541029	0 2 12 14 90 92 168 170 180 182	428428288752