Prime p₀= 2375332442838655691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: herby44
db: batch=81, k=10, 2 64 2 70 2

SPT(16)	2375331289051829819	0 12 54 78 84 174 200 204 278 282 308 398 404 428 470 482	-1153786825872
STPT(10)	2375331491509917041	0 2 6 8 48 50 90 92 96 98	-951328738650
STPT(10)	2375331557412794801	0 2 6 8 18 20 30 32 36 38	-885425860890
SPT(16)	2375331951872887477	0 16 30 52 54 60 66 112 294 340 346 352 354 376 390 406	-490965768214
SPT(16)	2375332107029286737	0 12 24 54 66 72 96 180 276 360 384 390 402 432 444 456	-335809368954
SPT(16)	2375332286306557247	0 36 54 104 120 132 146 150 176 180 194 206 222 272 290 326	-156532098444
STPT(10)	2375332491695440577	0 2 24 26 42 44 60 62 84 86	48856784886
STPT(10)	2375332498015530827	0 2 42 44 72 74 102 104 144 146	55176875136
SPT(16)	2375332699304656853	0 6 14 20 56 60 66 86 168 188 194 198 234 240 248 254	256466001162
SPT(16)	2375332992836052577	0 52 72 94 154 172 180 196 240 256 264 282 342 364 384 436	549997396886
SPT(16)	2375333415937368371	0 30 80 102 168 170 210 266 312 368 408 410 476 498 548 578	973098712680