Prime p₀= 2147860894778019269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2147860070399925001	0 28 42 120 130 150 168 178 180 190 208 228 238 316 330 358	-824378094268
SPT(16)	2147860132481782559	0 38 68 80 98 110 114 170 222 278 282 294 312 324 354 392	-762296236710
STPT(10)	2147860173971100047	0 2 30 32 42 44 54 56 84 86	-720806919222
SPT(16)	2147860222348331879	0 12 38 48 62 72 90 104 198 212 230 240 254 264 290 302	-672429687390
STPT(10)	2147860352090462687	0 2 30 32 42 44 54 56 84 86	-542687556582
SPT(16)	2147860574063057653	0 16 18 34 46 60 78 94 210 226 244 258 270 286 288 304	-320714961616
STPT(10)	2147860922332557329	0 2 42 44 60 62 78 80 120 122	27554538060
STPT(10)	2147861060459027819	0 2 12 14 90 92 168 170 180 182	165681008550
SPT(16)	2147861069594682787	0 22 46 76 100 112 120 142 204 226 234 246 270 300 324 346	174816663518
SPT(16)	2147861239948018711	0 28 46 96 132 142 168 246 292 370 396 406 442 492 510 538	345169999442
SPT(16)	2147861280255441643	0 34 46 54 76 78 106 154 180 228 256 258 280 288 300 334	385477422374