Prime p₀= 2443649762430716339 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 34

STPT(10)	2443649273652992567	0 2 30 32 42 44 54 56 84 86	-488777723772
SPT(16)	2443649280894929827	0 30 40 100 102 130 142 154 252 264 276 304 306 366 376 406	-481535786512
SPT(16)	2443649353606988783	0 36 48 50 116 144 258 270 284 296 410 438 504 506 518 554	-408823727556
SPT(16)	2443649402840682977	0 20 44 50 72 80 92 114 140 162 174 182 204 210 234 254	-359590033362
STPT(10)	2443649559288678161	0 2 36 38 78 80 120 122 156 158	-203142038178
TPT(14)	2443649717441145671	0 2 6 8 66 68 78 80 150 152 168 170 258 260	-44989570668
TPT(14)	2443650064181182709	0 2 72 74 150 152 312 314 378 380 450 452 462 464	301750466370
STPT(10)	2443650565753638287	0 2 54 56 72 74 90 92 144 146	803322921948
SPT(16)	2443650859518143371	0 18 40 42 66 132 192 250 258 316 376 442 466 468 490 508	1097087427032
SPT(16)	2443651030425340343	0 14 150 168 174 188 200 234 350 384 396 410 416 434 570 584	1267994624004
SPT(16)	2443651515128227109	0 12 18 30 38 144 158 164 228 234 248 354 362 374 380 392	1752697510770