Prime p₀= 2338629827256903161 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)	2338627797183564031	0 22 28 36 66 70 208 246 292 330 468 472 502 510 516 538	-2030073339130
TPT(14)	2338628253550261061	0 2 6 8 30 32 336 338 450 452 516 518 576 578	-1573706642100
TPT(14)	2338628372574589217	0 2 12 14 42 44 180 182 204 206 300 302 342 344	-1454682313944
SPT(16)	2338628917907130521	0 38 98 110 156 170 180 248 270 338 348 362 408 420 480 518	-909349772640
STPT(10)	2338629583037668979	0 2 42 44 60 62 78 80 120 122	-244219234182
SPT(16)	2338629823249593257	0 44 54 66 72 80 104 140 156 192 216 224 230 242 252 296	-4007309904
STPT(10)	2338629923669971541	0 2 36 38 78 80 120 122 156 158	96413068380
TPT(14)	2338630092686370029	0 2 30 32 42 44 138 140 150 152 222 224 318 320	265429466868
SPT(16)	2338630368502004183	0 14 48 80 90 120 126 146 168 188 194 224 234 266 300 314	541245101022
STPT(10)	2338630878538681421	0 2 30 32 60 62 90 92 120 122	1051281778260
SPT(16)	2338631125449753653	0 36 60 116 176 204 206 234 236 264 266 294 354 410 434 470	1298192850492