Prime p₀= 2798135036940380237 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 82 2 28 2 124 2 28 2 82 2 (?)
a_n: 0 2 84 86 114 116 240 242 270 272 354 356
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: 356
Found by: JayPi
db: batch=82, k=12, 2 82 2 28 2 124

SPT(16)	2798132738258325913	0 34 70 120 124 168 174 214 240 280 286 330 334 384 420 454	-2298682054324
STPT(10)	2798133140615041049	0 2 18 20 30 32 42 44 60 62	-1896325339188
STPT(10)	2798133201371147609	0 2 12 14 30 32 48 50 60 62	-1835569232628
STPT(10)	2798134060509091877	0 2 60 62 72 74 84 86 144 146	-976431288360
STPT(10)	2798134126250000639	0 2 48 50 90 92 132 134 180 182	-910690379598
STPT(10)	2798134953125472011	0 2 6 8 18 20 30 32 36 38	-83814908226
TPT(14)	2798135325955495499	0 2 30 32 72 74 78 80 138 140 150 152 162 164	289015115262
SPT(16)	2798135439990629927	0 12 26 102 116 152 180 182 234 236 264 300 314 390 404 416	403050249690
STPT(10)	2798135760445587227	0 2 12 14 42 44 72 74 84 86	723505206990
SPT(16)	2798135832249099847	0 22 24 40 60 82 102 112 162 172 192 214 234 250 252 274	795308719610
SPT(16)	2798135915847129037	0 6 22 34 42 52 66 112 144 190 204 214 222 234 250 256	878906748800