Prime p₀= 2684577748736750561 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 28 2 52 2 28 2 4 2 (?)
a_n: 0 2 6 8 36 38 90 92 120 122 126 128
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: 128
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 4 2 28 2 52

SPT(16)	2684576722995522353	0 14 18 56 74 104 126 146 228 248 270 300 318 356 360 374	-1025741228208
SPT(18)	2684577018614926339	0 4 48 94 108 132 144 198 210 262 274 328 340 364 378 424 468 472	-730121824222
SPT(16)	2684577155431770997	0 34 54 72 114 132 142 210 214 282 292 310 352 370 390 424	-593304979564
SPT(16)	2684577491896064239	0 4 18 40 52 54 60 70 72 82 88 90 102 124 138 142	-256840686322
SPT(16)	2684577564954690157	0 42 70 100 112 114 120 172 324 376 382 384 396 426 454 496	-183782060404
TPT(14)	2684577687679881737	0 2 30 32 42 44 72 74 102 104 144 146 162 164	-61056868824
STPT(10)	2684578049599850219	0 2 12 14 30 32 48 50 60 62	300863099658
SPT(16)	2684579111207067211	0 18 42 70 76 90 118 156 172 210 238 252 258 286 310 328	1362470316650
STPT(10)	2684579403425604257	0 2 60 62 72 74 84 86 144 146	1654688853696
SPT(16)	2684579861182236679	0 30 58 60 114 120 124 190 288 354 358 364 418 420 448 478	2112445486118
TPT(14)	2684579954729890157	0 2 42 44 54 56 90 92 132 134 174 176 210 212	2205993139596