Prime p₀= 2768768905988532089 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 58 2 4 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 108 110 168 170 210 212
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: 212
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 40 2 58 2 4

SPT(16)	2768768186986579003	0 18 48 66 76 100 136 144 160 168 204 228 238 256 286 304	-719001953086
STPT(12)	2768768220812260739	0 2 42 44 48 50 72 74 78 80 120 122	-685176271350
STPT(10)	2768768243579086247	0 2 42 44 72 74 102 104 144 146	-662409445842
SPT(13)	2768768574198540673	0 30 48 96 138 156 198 240 258 300 348 366 396	-331789991416
SPT(16)	2768768827114111727	0 12 24 26 92 120 162 176 210 224 266 294 360 362 374 386	-78874420362
SPT(16)	2768768897134260103	0 4 46 66 88 136 156 178 186 208 228 276 298 318 360 364	-8854271986
SPT(16)	2768769972878637001	0 16 58 60 72 82 96 102 106 112 126 136 148 150 192 208	1066890104912
SPT(16)	2768770116472242437	0 84 102 140 156 174 192 234 332 374 392 410 426 464 482 566	1210483710348
SPT(16)	2768770118910539693	0 14 96 108 110 144 174 186 188 200 230 264 266 278 360 374	1212922007604
STPT(10)	2768770420715831447	0 2 24 26 42 44 60 62 84 86	1514727299358
SPT(16)	2768770534654509599	0 90 92 168 180 242 252 258 392 398 408 470 482 558 560 650	1628665977510