Prime p₀= 2701086756967861019 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: biodoc
db: batch=82, k=12, 2 28 2 28 2 40

STPT(10)	2701086273470196551	0 2 30 32 60 62 90 92 120 122	-483497664468
SPT(16)	2701086304815250837	0 34 36 60 70 112 154 172 174 192 234 276 286 310 312 346	-452152610182
SPT(16)	2701086586952145941	0 30 90 132 152 168 182 198 272 288 302 318 338 380 440 470	-170015715078
SPT(16)	2701086655991321861	0 26 32 92 102 110 156 168 170 182 228 236 246 306 312 338	-100976539158
SPT(16)	2701086724611576611	0 8 18 32 38 78 126 140 168 182 230 270 276 290 300 308	-32356284408
SPT(16)	2701086752274938857	0 4 12 36 40 46 100 130 156 186 240 246 250 274 282 286	-4692922162
SPT(16)	2701086878865984013	0 16 28 48 54 94 118 166 168 216 240 280 286 306 318 334	121898122994
STPT(10)	2701086967508140031	0 2 6 8 18 20 30 32 36 38	210540279012
SPT(16)	2701087132968101557	0 12 16 84 96 124 144 304 312 472 492 520 532 600 604 616	376000240538
TPT(14)	2701087507042411631	0 2 6 8 18 20 198 200 240 242 306 308 378 380	750074550612
SPT(16)	2701087537039326091	0 42 60 96 166 196 198 228 250 280 282 312 382 418 436 478	780071465072