Prime p₀= 2858319649369392737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Roadranner
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2858318840882324383	0 46 114 124 210 244 246 288 376 418 420 454 540 550 618 664	-808487068354
TPT(14)	2858318964918317429	0 2 12 14 90 92 180 182 348 350 408 410 432 434	-684451075308
SPT(16)	2858319138169411571	0 20 62 68 78 98 110 146 162 198 210 230 240 246 288 308	-511199981166
TPT(14)	2858319361104376439	0 2 30 32 48 50 72 74 90 92 138 140 282 284	-288265016298
SPT(18)	2858319513858464321	0 26 30 42 56 66 68 96 150 158 212 240 242 252 266 278 282 308	-135510928416
SPT(16)	2858319549998437883	0 18 86 96 138 156 168 176 270 278 290 308 350 360 428 446	-99370954854
SPT(16)	2858319779593385581	0 40 42 70 78 82 108 132 238 262 288 292 300 328 330 370	130223992844
SPT(16)	2858320055916884959	0 12 24 210 234 252 264 322 360 418 430 448 472 658 670 682	406547492222
SPT(16)	2858320092189191053	0 28 30 40 48 78 100 114 124 138 160 190 198 208 210 238	442819798316
STPT(12)	2858320149550131269	0 2 48 50 78 80 90 92 120 122 168 170	500180738532
STPT(10)	2858320390349076941	0 2 120 122 138 140 156 158 276 278	740979684204