Prime p₀= 3007842999669740249 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: Time_Traveler
db: batch=82, k=12, 2 10 2 28 2 46

SPT(16)	3007842196688235961	0 10 22 46 66 106 148 178 330 360 402 442 462 486 498 508	-802981504288
STPT(10)	3007842218864754281	0 2 6 8 48 50 90 92 96 98	-780804985968
SPT(16)	3007842707765732927	0 2 6 12 24 30 90 114 122 146 206 212 224 230 234 236	-291904007322
STPT(10)	3007842732981870569	0 2 42 44 60 62 78 80 120 122	-266687869680
SPT(16)	3007842887963199613	0 6 46 88 118 148 210 216 418 424 486 516 546 588 628 634	-111706540636
SPT(16)	3007842934123733297	0 14 26 30 54 56 74 102 254 282 300 302 326 330 342 356	-65546006952
STPT(10)	3007843247422756997	0 2 42 44 72 74 102 104 144 146	247753016748
STPT(10)	3007843977209079101	0 2 30 32 60 62 90 92 120 122	977539338852
SPT(16)	3007844160968513329	0 30 42 52 60 84 108 130 192 214 238 262 270 280 292 322	1161298773080
SPT(16)	3007844201003784809	0 44 62 78 80 90 132 150 182 200 242 252 254 270 288 332	1201334044560
SPT(16)	3007844227105636801	0 28 58 60 70 72 82 88 150 156 166 168 178 180 210 238	1227435896552