Prime p₀= 2168376725440341347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 76 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 150 152 180 182 222 224
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: 224
Found by: JayPi
db: batch=81, k=12, 2 40 2 28 2 76

SPT(16)	2168376183388740053	0 56 86 156 158 170 200 210 224 234 264 276 278 348 378 434	-542051601294
STPT(10)	2168376289094089889	0 2 12 14 90 92 168 170 180 182	-436346251458
TPT(14)	2168376310154714927	0 2 42 44 114 116 120 122 180 182 282 284 372 374	-415285626420
SPT(16)	2168376312171729731	0 32 66 96 110 122 156 170 192 206 240 252 266 296 330 362	-413268611616
SPT(16)	2168376348077118787	0 6 60 144 154 210 222 256 300 334 346 402 412 496 550 556	-377363222560
SPT(16)	2168376349054211929	0 22 64 70 72 114 124 150 154 180 190 232 234 240 282 304	-376386129418
STPT(10)	2168377163384831207	0 2 30 32 42 44 54 56 84 86	437944489860
SPT(16)	2168377220337827351	0 26 32 42 68 90 98 108 140 150 158 180 206 216 222 248	494897486004
STPT(10)	2168377267522378667	0 2 30 32 42 44 54 56 84 86	542082037320
TPT(14)	2168377589331561779	0 2 12 14 162 164 252 254 330 332 342 344 372 374	863891220432
SPT(16)	2168377850561111179	0 12 30 78 138 148 168 172 390 394 414 424 484 532 550 562	1125120769832