Prime p₀= 2878613636813355737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Landjunge
db: batch=82, k=10, 2 70 2 28 2

SPT(16)	2878611784070065919	0 18 72 78 110 128 162 212 318 368 402 420 452 458 512 530	-1852743289818
SPT(16)	2878611913012136603	0 14 126 134 150 176 236 260 294 318 378 404 420 428 540 554	-1723801219134
SPT(16)	2878612186405613401	0 22 58 106 150 160 172 178 210 216 228 238 282 330 366 388	-1450407742336
STPT(10)	2878612275838029329	0 2 18 20 30 32 42 44 60 62	-1360975326408
SPT(16)	2878612933464678499	0 42 48 88 102 138 172 180 250 258 292 328 342 382 388 430	-703348677238
SPT(18)	2878613463311607317	0 20 30 80 90 104 182 204 212 252 260 282 360 374 384 434 444 464	-173501748420
STPT(10)	2878614096671745347	0 2 24 26 42 44 60 62 84 86	459858389610
TPT(14)	2878614374364711971	0 2 198 200 216 218 288 290 438 440 456 458 498 500	737551356234
STPT(10)	2878614543595468157	0 2 30 32 42 44 54 56 84 86	906782112420
SPT(16)	2878614606424195337	0 14 32 56 72 84 114 116 150 152 182 194 210 234 252 266	969610839600
SPT(16)	2878614649195533667	0 16 66 126 132 160 202 216 286 300 342 370 376 436 486 502	1012382177930