Prime p₀= 2796919746914005157 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 58 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 102 104 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 10 2 28 2 58

SPT(16)	2796918978370428913	0 16 30 70 96 124 190 196 234 240 306 334 360 400 414 430	-768543576244
STPT(10)	2796919063487497811	0 2 30 32 78 80 126 128 156 158	-683426507346
SPT(16)	2796919194402267157	0 40 70 100 114 124 126 144 196 214 216 226 240 270 300 340	-552511738000
STPT(10)	2796919194572780819	0 2 42 44 150 152 258 260 300 302	-552341224338
SPT(16)	2796919473793049851	0 28 30 102 138 168 190 198 280 288 310 340 376 448 450 478	-273120955306
STPT(10)	2796919521294848837	0 2 30 32 42 44 54 56 84 86	-225619156320
SPT(16)	2796920643534387781	0 42 60 90 102 130 160 186 202 228 258 286 298 328 346 388	896620382624
STPT(10)	2796920805548409521	0 2 36 38 78 80 120 122 156 158	1058634404364
TPT(16)	2796920930923005569	0 2 12 14 18 20 42 44 102 104 132 134 222 224 270 272	1184009000412
SPT(16)	2796921124991076877	0 30 40 70 82 94 112 114 160 162 180 192 204 234 244 274	1378077071720
SPT(18)	2796921457789535039	0 8 98 110 122 132 162 168 234 248 314 320 350 360 372 384 474 482	1710875529882