Prime p₀= 1863582911169846047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Conan
db: batch=79, k=10, 2 28 2 10 2

SPT(20)	1863581610288759961	0 10 12 22 36 48 90 166 196 252 256 312 342 418 460 472 486 496 498 508	-1300881086086
TPT(14)	1863581740129122467	0 2 24 26 54 56 84 86 102 104 150 152 234 236	-1171040723580
STPT(10)	1863582136695514577	0 2 24 26 42 44 60 62 84 86	-774474331470
SPT(16)	1863582209866916983	0 6 78 90 120 160 204 208 246 250 294 334 364 376 448 454	-701302929064
SPT(16)	1863582636415163267	0 2 14 24 32 60 80 86 120 126 146 174 182 192 204 206	-274754682780
STPT(10)	1863582863879841581	0 2 36 38 78 80 120 122 156 158	-47290004466
SPT(16)	1863583105825246229	0 20 42 68 102 134 140 168 314 342 348 380 414 440 462 482	194655400182
STPT(10)	1863583497808856639	0 2 12 14 30 32 48 50 60 62	586639010592
SPT(16)	1863583524531956489	0 78 110 138 140 182 204 218 264 278 300 342 344 372 404 482	613362110442
SPT(16)	1863583964584603753	0 24 76 78 88 108 144 148 156 160 196 216 226 228 280 304	1053414757706
SPT(16)	1863584124414747037	0 46 136 150 174 240 262 270 286 294 316 382 406 420 510 556	1213244900990