Prime p₀= 2701657580541353867 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 58 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 102 104 114 116 144 146
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: biodoc
db: batch=82, k=12, 2 28 2 10 2 58

STPT(10)	2701656940449959957	0 2 90 92 132 134 174 176 264 266	-640091393910
SPT(16)	2701657003586162891	0 20 38 62 66 78 126 162 266 302 350 362 366 390 408 428	-576955190976
SPT(16)	2701657088188947853	0 18 60 126 130 220 226 328 336 438 444 534 538 604 646 664	-492352406014
SPT(16)	2701657110099125999	0 42 60 74 84 98 104 134 168 198 204 218 228 242 260 302	-470442227868
SPT(16)	2701657110243016687	0 12 40 112 114 142 154 180 196 222 234 262 264 336 364 376	-470298337180
STPT(10)	2701657519062980591	0 2 36 38 78 80 120 122 156 158	-61478373276
STPT(12)	2701657790522916497	0 2 42 44 54 56 60 62 72 74 114 116	209981562630
SPT(16)	2701657804994848891	0 10 48 72 76 88 102 130 198 226 240 252 256 280 318 328	224453495024
SPT(16)	2701658608327568693	0 44 60 84 116 144 150 156 194 200 206 234 266 290 306 350	1027786214826
STPT(10)	2701658676411902099	0 2 12 14 90 92 168 170 180 182	1095870548232
SPT(16)	2701659145568331307	0 30 36 52 66 112 150 216 256 322 360 406 420 436 442 472	1565026977440