Prime p₀= 2715929742601541327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 58 2 4 2 58 2 52 2 (?)
a_n: 0 2 54 56 114 116 120 122 180 182 234 236
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: 236
Found by: JonS
db: batch=82, k=12, 2 52 2 58 2 4

STPT(10)	2715927657248510447	0 2 12 14 42 44 72 74 84 86	-2085353030880
SPT(16)	2715928082582034737	0 50 54 72 140 152 156 174 182 200 204 216 284 302 306 356	-1660019506590
STPT(10)	2715928230784459961	0 2 6 8 48 50 90 92 96 98	-1511817081366
SPT(16)	2715928374663694537	0 6 22 40 130 196 216 282 340 406 426 492 582 600 616 622	-1367937846790
STPT(10)	2715929017289256911	0 2 6 8 18 20 30 32 36 38	-725312284416
SPT(16)	2715929134756230493	0 16 60 70 78 148 178 190 234 246 276 346 354 364 408 424	-607845310834
SPT(16)	2715929744984618153	0 26 60 84 140 158 188 194 210 216 246 264 320 344 378 404	2383076826
SPT(16)	2715929884298397113	0 20 44 54 68 110 116 120 194 198 204 246 260 270 294 314	141696855786
STPT(10)	2715930007693937129	0 2 18 20 30 32 42 44 60 62	265092395802
TPT(14)	2715930237085429277	0 2 12 14 42 44 60 62 114 116 144 146 300 302	494483887950
SPT(16)	2715930317309939497	0 42 124 126 144 154 172 210 256 294 312 322 340 342 424 466	574708398170