Prime p₀= 2345026270080440657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=81, k=10, 2 10 2 28 2

STPT(10)	2345024617867971407	0 2 30 32 42 44 54 56 84 86	-1652212469250
TPT(14)	2345025038438979971	0 2 48 50 60 62 90 92 138 140 228 230 258 260	-1231641460686
STPT(10)	2345025060197811317	0 2 42 44 72 74 102 104 144 146	-1209882629340
SPT(16)	2345025423878640491	0 86 128 140 200 258 282 308 330 356 380 438 498 510 552 638	-846201800166
SPT(16)	2345025565874383619	0 2 14 182 192 230 264 272 300 308 342 380 390 558 570 572	-704206057038
SPT(16)	2345025952250009423	0 6 24 68 108 110 230 234 380 384 504 506 546 590 608 614	-317830431234
SPT(16)	2345026703723256877	0 10 22 76 112 154 186 192 214 220 252 294 330 384 396 406	433642816220
SPT(16)	2345026751849423899	0 10 28 52 54 70 90 180 232 322 342 358 360 384 402 412	481768983242
SPT(16)	2345026999662112699	0 40 82 90 150 160 178 180 220 222 240 250 310 318 360 400	729581672042
SPT(16)	2345027477860798831	0 16 28 52 100 126 130 148 150 168 172 198 246 270 282 298	1207780358174
STPT(10)	2345028056270292077	0 2 24 26 42 44 60 62 84 86	1786189851420