Prime p₀= 2425503508928200817 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: Coleslaw
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2425501209488775863	0 20 48 74 84 144 146 168 236 258 260 320 330 356 384 404	-2299439424954
TPT(14)	2425501572324621821	0 2 18 20 60 62 156 158 198 200 270 272 288 290	-1936603578996
SPT(16)	2425502617910790149	0 44 50 62 72 102 134 140 174 180 212 242 252 264 270 314	-891017410668
STPT(10)	2425502759552746127	0 2 90 92 102 104 114 116 204 206	-749375454690
SPT(16)	2425502771216492707	0 4 24 84 120 180 204 246 280 322 346 406 442 502 522 526	-737711708110
SPT(13)	2425503466073464363	0 54 60 66 144 186 210 234 276 354 360 366 420	-42854736454
TPT(14)	2425503538182090857	0 2 72 74 192 194 282 284 294 296 372 374 402 404	29253890040
SPT(16)	2425504062021427873	0 10 48 70 96 100 114 154 180 220 234 238 264 286 324 334	553093227056
TPT(14)	2425504109175805109	0 2 90 92 132 134 258 260 342 344 408 410 462 464	600247604292
SPT(16)	2425504486260705121	0 82 96 138 150 172 208 220 258 270 306 328 340 382 396 478	977332504304
STPT(10)	2425505128448495879	0 2 30 32 60 62 90 92 120 122	1619520295062