Prime p₀= 2338629583037668979 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)	2338627671565179341	0 20 36 42 78 86 98 120 188 210 222 230 266 272 288 308	-1911472489638
SPT(16)	2338627796873345891	0 2 20 60 110 132 140 188 222 270 278 300 350 390 408 410	-1786164323088
SPT(16)	2338627797183564031	0 22 28 36 66 70 208 246 292 330 468 472 502 510 516 538	-1785854104948
TPT(14)	2338628253550261061	0 2 6 8 30 32 336 338 450 452 516 518 576 578	-1329487407918
TPT(14)	2338628372574589217	0 2 12 14 42 44 180 182 204 206 300 302 342 344	-1210463079762
SPT(16)	2338628917907130521	0 38 98 110 156 170 180 248 270 338 348 362 408 420 480 518	-665130538458
SPT(16)	2338629823249593257	0 44 54 66 72 80 104 140 156 192 216 224 230 242 252 296	240211924278
STPT(10)	2338629827256903161	0 2 36 38 78 80 120 122 156 158	244219234182
STPT(10)	2338629923669971541	0 2 36 38 78 80 120 122 156 158	340632302562
TPT(14)	2338630092686370029	0 2 30 32 42 44 138 140 150 152 222 224 318 320	509648701050
SPT(16)	2338630368502004183	0 14 48 80 90 120 126 146 168 188 194 224 234 266 300 314	785464335204