Prime p₀= 2971795124601293687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
All 10 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: Roadranner
db: batch=82, k=10, 2 10 2 58 2

TPT(14)	2971793795386091867	0 2 102 104 114 116 144 146 270 272 294 296 312 314	-1329215201820
STPT(10)	2971793885048185541	0 2 36 38 78 80 120 122 156 158	-1239553108146
STPT(10)	2971793917868735807	0 2 12 14 42 44 72 74 84 86	-1206732557880
TPT(14)	2971794316932981389	0 2 42 44 132 134 180 182 288 290 342 344 348 350	-807668312298
SPT(16)	2971794348136684673	0 54 78 80 114 140 186 194 210 218 264 290 324 326 350 404	-776464609014
SPT(16)	2971794450081985457	0 14 42 66 74 80 122 140 216 234 276 282 290 314 342 356	-674519308230
SPT(16)	2971795818762215317	0 12 36 60 82 120 192 292 300 400 472 510 532 556 580 592	694160921630
SPT(16)	2971796394982050617	0 2 14 42 86 92 156 204 212 260 324 330 374 402 414 416	1270380756930
STPT(10)	2971796415856192151	0 2 78 80 108 110 138 140 216 218	1291254898464
SPT(16)	2971796526918672667	0 144 162 172 186 196 214 246 250 282 300 310 324 334 352 496	1402317378980
STPT(10)	2971796842830635879	0 2 48 50 90 92 132 134 180 182	1718229342192