Prime p₀= 2391659085665752751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2391657095259984037	0 10 22 30 40 180 184 232 252 300 304 444 454 462 474 484	-1990405768714
SPT(16)	2391657151358943241	0 28 48 72 82 186 232 268 270 306 352 456 466 490 510 538	-1934306809510
SPT(16)	2391657723407368303	0 34 46 84 210 228 240 310 324 394 406 424 550 588 600 634	-1362258384448
STPT(10)	2391658279467164759	0 2 42 44 60 62 78 80 120 122	-806198587992
SPT(16)	2391658546382486833	0 4 34 60 70 124 130 144 154 168 174 228 238 264 294 298	-539283265918
SPT(16)	2391658998556850807	0 12 14 26 92 102 114 162 284 332 344 354 420 432 434 446	-87108901944
SPT(16)	2391659490872627611	0 6 12 18 52 96 102 126 142 166 172 216 250 256 262 268	405206874860
STPT(10)	2391659764103325641	0 2 30 32 78 80 126 128 156 158	678437572890
SPT(13)	2391659993616331829	0 24 30 42 54 114 132 150 210 222 234 240 264	907950579078
STPT(10)	2391660181535132771	0 2 6 8 48 50 90 92 96 98	1095869380020
STPT(10)	2391660545080014077	0 2 72 74 102 104 132 134 204 206	1459414261326