Prime p₀= 2780681089782424637 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: conf [MM]
db: batch=82, k=12, 2 10 2 16 2 22

STPT(10)	2780679697529684009	0 2 12 14 90 92 168 170 180 182	-1392252740628
SPT(16)	2780680038556919893	0 18 28 34 58 78 130 174 184 228 280 300 324 330 340 358	-1051225504744
SPT(16)	2780680096986514253	0 90 116 128 146 164 198 224 240 266 300 318 336 348 374 464	-992795910384
STPT(10)	2780680581362459681	0 2 6 8 48 50 90 92 96 98	-508419964956
SPT(16)	2780680653715271347	0 10 42 76 82 84 160 172 174 186 262 264 270 304 336 346	-436067153290
STPT(10)	2780680868908800899	0 2 18 20 30 32 42 44 60 62	-220873623738
TPT(14)	2780681766528056117	0 2 42 44 192 194 210 212 234 236 264 266 270 272	676745631480
SPT(16)	2780681976757161391	0 6 48 88 106 118 120 132 166 178 180 192 210 250 292 298	886974736754
SPT(16)	2780682097939901767	0 34 54 66 94 112 120 126 190 196 204 222 250 262 282 316	1008157477130
SPT(16)	2780682347028507277	0 6 46 96 124 130 136 192 364 420 426 432 460 510 550 556	1257246082640
STPT(10)	2780682751995259427	0 2 30 32 42 44 54 56 84 86	1662212834790