Prime p₀= 2700353567016518891 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 16 2 130 2 16 2 58 2 (?)
a_n: 0 2 60 62 78 80 210 212 228 230 288 290
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: biodoc
db: batch=82, k=12, 2 58 2 16 2 130

TPT(14)	2700352678167530759	0 2 18 20 42 44 60 62 90 92 102 104 168 170	-888848988132
SPT(16)	2700352695411650089	0 10 12 30 42 90 108 118 132 142 160 208 220 238 240 250	-871604868802
SPT(16)	2700352937603762699	0 14 68 90 144 150 228 300 332 404 482 488 542 564 618 632	-629412756192
SPT(16)	2700352965299138777	0 6 66 90 110 140 246 264 272 290 396 426 446 470 530 536	-601717380114
SPT(16)	2700353050687436891	0 32 38 68 96 158 200 206 252 258 300 362 390 420 426 458	-516329082000
TPT(14)	2700353178723435869	0 2 12 14 60 62 72 74 102 104 210 212 282 284	-388293083022
STPT(10)	2700353573136287639	0 2 18 20 30 32 42 44 60 62	6119768748
SPT(16)	2700354166512247033	0 24 40 54 70 144 180 210 220 250 286 360 376 390 406 430	599495728142
STPT(10)	2700354896554807319	0 2 18 20 60 62 102 104 120 122	1329538288428
SPT(16)	2700355358784606979	0 18 42 52 88 100 144 184 198 238 282 294 330 340 364 382	1791768088088
TPT(14)	2700355362798144827	0 2 24 26 42 44 72 74 144 146 180 182 240 242	1795781625936