Prime p₀= 2391658279467164759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2391656243103298429	0 10 30 34 70 88 114 154 174 214 240 258 294 298 318 328	-2036363866330
STPT(10)	2391656715218513087	0 2 42 44 72 74 102 104 144 146	-1564248651672
SPT(16)	2391656844834458137	0 10 40 132 150 202 210 214 342 346 354 406 424 516 546 556	-1434632706622
SPT(16)	2391657095259984037	0 10 22 30 40 180 184 232 252 300 304 444 454 462 474 484	-1184207180722
SPT(16)	2391657151358943241	0 28 48 72 82 186 232 268 270 306 352 456 466 490 510 538	-1128108221518
SPT(16)	2391657723407368303	0 34 46 84 210 228 240 310 324 394 406 424 550 588 600 634	-556059796456
SPT(16)	2391658546382486833	0 4 34 60 70 124 130 144 154 168 174 228 238 264 294 298	266915322074
SPT(16)	2391658998556850807	0 12 14 26 92 102 114 162 284 332 344 354 420 432 434 446	719089686048
STPT(10)	2391659085665752751	0 2 36 38 78 80 120 122 156 158	806198587992
SPT(16)	2391659490872627611	0 6 12 18 52 96 102 126 142 166 172 216 250 256 262 268	1211405462852
STPT(10)	2391659764103325641	0 2 30 32 78 80 126 128 156 158	1484636160882