Prime p₀= 1008201592946859299 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: Theadalus
db: batch=76, k=12, 2 28 2 28 2 10

STPT(12)	1008200774165888027	0 2 30 32 60 62 72 74 102 104 132 134	-818780971272
SPT(16)	1008200924957362769	0 2 24 42 44 90 132 252 260 380 422 468 470 488 510 512	-667989496530
SPT(16)	1008201055791578063	0 8 18 20 48 98 140 150 284 294 336 386 414 416 426 434	-537155281236
SPT(16)	1008201229522822627	0 12 34 54 76 102 120 154 222 256 274 300 322 342 364 376	-363424036672
SPT(16)	1008201231313539581	0 36 80 96 120 132 140 146 156 162 170 182 206 222 266 302	-361633319718
STPT(10)	1008201577245568001	0 2 6 8 18 20 30 32 36 38	-15701291298
SPT(13)	1008201891745385231	0 30 66 96 108 138 168 198 228 240 270 306 336	298798525932
SPT(16)	1008202036206286967	0 86 90 126 132 236 240 266 330 356 360 464 470 506 510 596	443259427668
STPT(10)	1008202417189050899	0 2 12 14 30 32 48 50 60 62	824242191600
SPT(16)	1008202421575769837	0 50 86 92 134 174 230 270 326 366 422 462 504 510 546 596	828628910538
SPT(16)	1008202495646513443	0 6 40 48 90 106 126 138 148 160 180 196 238 246 280 286	902699654144