Prime p₀= 2378967712422706157 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2378965820308616639	0 14 20 48 60 74 80 104 204 228 234 248 260 288 294 308	-1892114089518
STPT(10)	2378966019717308627	0 2 60 62 72 74 84 86 144 146	-1692705397530
TPT(14)	2378966039686794329	0 2 30 32 48 50 78 80 252 254 258 260 270 272	-1672735911828
SPT(16)	2378966071231714163	0 24 30 66 68 86 134 170 174 210 258 276 278 314 320 344	-1641190991994
SPT(16)	2378966257728788759	0 50 78 104 114 120 174 240 308 374 428 434 444 470 498 548	-1454693917398
SPT(16)	2378967693271655371	0 48 70 90 106 112 162 196 222 256 306 312 328 348 370 418	-19151050786
SPT(16)	2378967990908867341	0 12 16 36 40 70 88 112 156 180 198 228 232 252 256 268	278486161184
SPT(16)	2378968905827810393	0 18 48 66 80 158 168 170 186 188 198 276 290 308 338 356	1193405104236
STPT(10)	2378968954941833159	0 2 42 44 90 92 138 140 180 182	1242519127002
SPT(16)	2378969194625741639	0 8 18 20 38 42 108 110 342 344 410 414 432 434 444 452	1482203035482
SPT(16)	2378970011156559629	0 2 8 14 50 168 182 200 282 300 314 432 468 474 480 482	2298733853472