Prime p₀= 2773970801763453827 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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 10 2 28 2 76

SPT(16)	2773969848287080657	0 30 36 90 102 114 120 142 144 166 172 184 196 250 256 286	-953476373170
SPT(16)	2773969954101121201	0 6 10 40 118 126 138 166 180 208 220 228 306 336 340 346	-847662332626
TPT(14)	2773970098357929071	0 2 108 110 126 128 150 152 228 230 318 320 366 368	-703405524756
STPT(10)	2773970231918427317	0 2 12 14 42 44 72 74 84 86	-569845026510
SPT(16)	2773970310862616207	0 14 60 110 144 146 170 174 236 240 264 266 300 350 396 410	-490900837620
SPT(16)	2773970690400598217	0 36 62 90 116 132 152 156 200 204 224 240 266 294 320 356	-111362855610
SPT(16)	2773970823021462461	0 8 12 20 50 56 62 68 90 96 102 108 138 146 150 158	21258008634
TPT(14)	2773971190298782937	0 2 12 14 114 116 180 182 402 404 414 416 444 446	388535329110
TPT(14)	2773971291696305669	0 2 12 14 48 50 168 170 210 212 222 224 258 260	489932851842
SPT(16)	2773971294567172261	0 16 70 102 112 148 156 160 198 202 210 246 256 288 342 358	492803718434
SPT(16)	2773971903985721191	0 12 46 60 82 100 102 186 376 460 462 480 502 516 550 562	1102222267364