Prime p₀= 2954845704760616879 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 46 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 168 170 210 212 288 290
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: 290
Found by: Orange Kid
db: batch=82, k=12, 2 76 2 40 2 46

STPT(10)	2954845399048028579	0 2 30 32 60 62 90 92 120 122	-305712588300
STPT(10)	2954845436442748991	0 2 6 8 18 20 30 32 36 38	-268317867888
SPT(16)	2954845515306237331	0 30 106 126 132 148 150 172 216 238 240 256 262 282 358 388	-189454379548
STPT(10)	2954845570924961471	0 2 6 8 18 20 30 32 36 38	-133835655408
SPT(16)	2954845616345105269	0 48 64 70 108 114 150 168 184 202 238 244 282 288 304 352	-88415511610
SPT(16)	2954845692829531759	0 24 34 60 70 84 180 240 322 382 478 492 502 528 538 562	-11931085120
SPT(16)	2954845821142153459	0 30 34 42 82 124 132 148 174 190 198 240 280 288 292 322	116381536580
STPT(10)	2954845860592634579	0 2 18 20 30 32 42 44 60 62	155832017700
SPT(16)	2954846082958251401	0 12 36 38 56 72 86 122 126 162 176 192 210 212 236 248	378197634522
SPT(16)	2954846159910640693	0 34 40 96 118 136 166 180 334 348 378 396 418 474 480 514	455150023814
SPT(16)	2954846207212411817	0 54 60 62 84 104 110 156 170 216 222 242 264 266 272 326	502451794938