Prime p₀= 2649539061885608069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 58 2 76 2 58 2 70 2 (?)
a_n: 0 2 72 74 132 134 210 212 270 272 342 344
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: 344
Found by: biodoc
db: batch=82, k=12, 2 70 2 58 2 76

STPT(12)	2649536506791499529	0 2 12 14 72 74 78 80 138 140 150 152	-2555094108540
STPT(10)	2649536563086165437	0 2 24 26 42 44 60 62 84 86	-2498799442632
SPT(16)	2649537551575228393	0 18 28 48 88 120 154 160 228 234 268 300 340 360 370 388	-1510310379676
TPT(14)	2649537909046826219	0 2 30 32 48 50 120 122 132 134 168 170 240 242	-1152838781850
STPT(10)	2649538395942475391	0 2 6 8 48 50 90 92 96 98	-665943132678
SPT(20)	2649538487317543489	0 10 52 78 142 150 192 220 250 258 352 360 390 418 460 468 532 558 600 610	-574568064580
STPT(10)	2649539072464535087	0 2 42 44 72 74 102 104 144 146	10578927018
SPT(16)	2649539897662898381	0 18 36 38 96 98 108 128 150 170 180 182 240 242 260 278	835777290312
SPT(16)	2649540727506687803	0 18 20 90 96 110 120 200 204 284 294 308 314 384 386 404	1665621079734
STPT(10)	2649540745667730791	0 2 30 32 60 62 90 92 120 122	1683782122722
SPT(16)	2649540971461756249	0 12 28 30 42 78 100 132 148 180 202 238 250 252 268 280	1909576148180