Prime p₀= 2328266271945193691 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 94 2 52 2 94 2 58 2 (?)
a_n: 0 2 60 62 156 158 210 212 306 308 366 368
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: 368
Found by: [SG-2W]Kurzer
db: batch=81, k=12, 2 58 2 94 2 52

SPT(16)	2328265039771022629	0 4 18 40 72 84 160 184 198 222 298 310 342 364 378 382	-1232174171062
STPT(10)	2328265490420560679	0 2 18 20 30 32 42 44 60 62	-781524633012
STPT(10)	2328265616177716751	0 2 6 8 48 50 90 92 96 98	-655767476940
SPT(16)	2328265967374450619	0 20 38 42 48 62 80 98 102 120 138 152 158 162 180 200	-304570743072
SPT(16)	2328266003015853553	0 16 58 66 94 130 156 256 258 358 384 420 448 456 498 514	-268929340138
SPT(16)	2328266195868735379	0 70 78 90 108 132 144 244 288 388 400 424 442 454 462 532	-76076458312
SPT(16)	2328266301527777027	0 2 42 54 60 74 104 126 230 252 282 296 302 314 354 356	29582583336
SPT(16)	2328266331096873221	0 18 42 60 68 98 120 176 192 248 270 300 308 326 350 368	59151679530
SPT(16)	2328266344242498329	0 14 20 24 80 98 104 152 330 378 384 402 458 462 468 482	72297304638
SPT(16)	2328267183749081077	0 16 72 94 96 132 136 154 222 240 244 280 282 304 360 376	911803887386
STPT(10)	2328267193655379707	0 2 12 14 132 134 252 254 264 266	921710186016