Prime p₀= 2308160286543596657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2308158821584488233	0 30 60 98 116 140 168 170 174 176 204 228 246 284 314 344	-1464959108424
SPT(16)	2308159096594195699	0 18 24 64 72 84 100 144 148 192 208 220 228 268 274 292	-1189949400958
SPT(16)	2308159222729209911	0 18 48 62 90 92 132 168 320 356 396 398 426 440 470 488	-1063814386746
STPT(10)	2308159223242372601	0 2 6 8 48 50 90 92 96 98	-1063301224056
STPT(10)	2308159333821838487	0 2 42 44 72 74 102 104 144 146	-952721758170
SPT(20)	2308159394297556131	0 38 50 68 78 90 150 170 192 198 272 278 300 320 380 392 402 420 432 470	-892246040526
SPT(16)	2308160614242895141	0 16 30 126 130 196 252 268 270 286 342 408 412 508 522 538	327699298484
SPT(16)	2308160619607537679	0 54 78 98 102 144 168 180 182 194 218 260 264 284 308 362	333063941022
SPT(16)	2308160832377895241	0 10 28 36 88 180 190 208 318 336 346 438 490 498 516 526	545834298584
SPT(16)	2308160912803410563	0 6 8 38 78 150 170 176 210 216 236 308 348 378 380 386	626259813906
SPT(16)	2308161293454740527	0 24 84 112 130 154 160 172 222 234 240 264 282 310 370 394	1006911143870