Prime p₀= 2844541850009590979 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 58 2 10 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 150 152 210 212 288 290
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: 290
Found by: suriv
db: batch=82, k=12, 2 76 2 58 2 10

TPT(14)	2844540495579715487	0 2 84 86 102 104 144 146 162 164 174 176 240 242	-1354429875492
SPT(16)	2844540568383520711	0 6 22 42 96 118 126 130 168 172 180 202 256 276 292 298	-1281626070268
SPT(16)	2844540890806870147	0 6 12 16 34 76 120 124 162 166 210 252 270 274 280 286	-959202720832
STPT(10)	2844541061563919747	0 2 30 32 42 44 54 56 84 86	-788445671232
SPT(16)	2844541663256391829	0 12 22 24 30 40 54 112 150 208 222 232 238 240 250 262	-186753199150
SPT(16)	2844541830289503881	0 18 26 36 56 66 78 80 96 98 110 120 140 150 158 176	-19720087098
SPT(16)	2844542471929870889	0 14 30 72 192 204 210 218 234 242 248 260 380 422 438 452	621920279910
TPT(14)	2844542554556049197	0 2 30 32 240 242 294 296 312 314 354 356 504 506	704546458218
SPT(16)	2844542692410411287	0 26 60 66 86 126 170 180 182 192 236 276 296 302 336 362	842400820308
STPT(10)	2844543048262949309	0 2 48 50 90 92 132 134 180 182	1198253358330
SPT(16)	2844543587537554729	0 10 40 72 102 114 144 168 334 358 388 400 430 462 492 502	1737527963750