Prime p₀= 2888947356939250259 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: Landjunge
db: batch=82, k=12, 2 40 2 4 2 22

TPT(14)	2888946764126912189	0 2 30 32 138 140 150 152 192 194 198 200 240 242	-592812338070
TPT(14)	2888946901112792561	0 2 18 20 66 68 96 98 240 242 390 392 396 398	-455826457698
SPT(16)	2888946954096732751	0 48 60 66 106 166 178 186 280 288 300 360 400 406 418 466	-402842517508
STPT(10)	2888947026042347117	0 2 12 14 42 44 72 74 84 86	-330896903142
STPT(10)	2888947147546311569	0 2 12 14 90 92 168 170 180 182	-209392938690
SPT(16)	2888947219713139537	0 12 36 40 64 82 102 150 166 214 234 252 276 280 304 316	-137226110722
SPT(16)	2888947896079401971	0 20 42 62 66 68 78 90 128 140 150 152 156 176 198 218	539140151712
SPT(16)	2888948156392778723	0 20 36 38 48 80 104 210 224 330 354 386 396 398 414 434	799453528464
SPT(16)	2888948612340388529	0 18 32 54 74 138 170 192 200 222 254 318 338 360 374 392	1255401138270
STPT(10)	2888948756411558051	0 2 30 32 78 80 126 128 156 158	1399472307792
STPT(10)	2888948864700215501	0 2 30 32 60 62 90 92 120 122	1507760965242