Prime p₀= 3879127300144216997 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: SEARCHER
db: batch=84, k=10, 2 28 2 28 2

SPT(16)	3879125395358343587	0 6 14 20 30 56 90 132 254 296 330 356 366 372 380 386	-1904785873410
STPT(10)	3879126053262868997	0 2 30 32 42 44 54 56 84 86	-1246881348000
SPT(16)	3879126309683583289	0 4 18 60 118 172 174 198 244 268 270 324 382 424 438 442	-990460633708
SPT(16)	3879126361152794441	0 6 20 30 48 98 132 158 210 236 270 320 338 348 362 368	-938991422556
STPT(10)	3879126875173878899	0 2 18 20 30 32 42 44 60 62	-424970338098
TPT(14)	3879126949085836289	0 2 30 32 48 50 228 230 240 242 288 290 312 314	-351058380708
SPT(16)	3879127974078163523	0 38 54 78 90 104 110 150 164 204 210 224 236 260 276 314	673933946526
SPT(16)	3879128287931917771	0 88 130 168 190 256 288 300 358 370 402 468 490 528 570 658	987787700774
SPT(16)	3879129015745414427	0 2 36 42 72 80 96 150 152 206 222 230 260 266 300 302	1715601197430
SPT(16)	3879129694586986447	0 40 102 112 144 174 210 214 222 226 262 292 324 334 396 436	2394442769450
SPT(16)	3879129713690007631	0 22 30 40 60 66 82 106 186 210 226 232 252 262 270 292	2413545790634