Prime p₀= 2212584057654047219 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: Landjunge
db: batch=81, k=12, 2 28 2 28 2 10

SPT(16)	2212581592885632209	0 8 24 50 90 108 120 134 138 152 164 182 222 248 264 272	-2464768415010
STPT(10)	2212582199434950191	0 2 30 32 60 62 90 92 120 122	-1858219097028
SPT(16)	2212583095270229581	0 42 78 138 172 232 282 316 372 406 456 516 550 610 646 688	-962383817638
SPT(16)	2212583674318203271	0 40 88 100 130 198 210 228 232 250 262 330 360 372 420 460	-383335843948
STPT(10)	2212583757221668289	0 2 42 44 90 92 138 140 180 182	-300432378930
STPT(10)	2212584037320586409	0 2 18 20 30 32 42 44 60 62	-20333460810
STPT(10)	2212584554852245667	0 2 30 32 60 62 90 92 120 122	497198198448
TPT(14)	2212584892220947709	0 2 78 80 150 152 252 254 288 290 330 332 342 344	834566900490
SPT(16)	2212585466595338893	0 4 10 28 58 66 78 88 126 136 148 156 186 204 210 214	1408941291674
SPT(16)	2212586073761625319	0 58 64 70 102 162 168 198 244 274 280 340 372 378 384 442	2016107578100
TPT(14)	2212586320253167517	0 2 42 44 72 74 162 164 180 182 330 332 402 404	2262599120298