Prime p₀= 2539743030432592667 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 102 104 114 116
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: 116
Found by: ANCHULA-MARK
db: batch=82, k=12, 2 10 2 28 2 28

SPT(16)	2539741725880027261	0 42 82 102 150 178 238 258 292 312 372 400 448 468 508 550	-1304552565406
SPT(16)	2539741929144135253	0 30 66 70 88 114 168 240 334 406 460 486 504 508 544 574	-1101288457414
STPT(10)	2539741990395235817	0 2 42 44 72 74 102 104 144 146	-1040037356850
SPT(16)	2539742300617210657	0 24 34 52 82 114 154 160 216 222 262 294 324 342 352 376	-729815382010
STPT(10)	2539742739525037127	0 2 12 14 72 74 132 134 144 146	-290907555540
SPT(16)	2539742831556475397	0 26 32 62 132 146 222 224 282 284 360 374 444 474 480 506	-198876117270
SPT(16)	2539743241189998647	0 42 44 72 90 182 206 212 234 240 264 356 374 402 404 446	210757405980
SPT(16)	2539743259878830483	0 14 60 98 104 134 144 170 174 200 210 240 246 284 330 344	229446237816
SPT(16)	2539743284679675691	0 66 78 106 138 148 168 192 196 220 240 250 282 310 322 388	254247083024
SPT(20)	2539743825908545381	0 10 82 88 132 160 168 192 196 210 388 402 406 430 438 466 510 516 588 598	795475952714
STPT(10)	2539744988405283479	0 2 18 20 30 32 42 44 60 62	1957972690812