Prime p₀= 2004421429585048079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2004420641452947181	0 10 72 126 142 156 168 190 288 310 322 336 352 406 468 478	-788132100898
SPT(16)	2004420716458636771	0 16 18 58 66 70 120 196 270 346 396 400 408 448 450 466	-713126411308
SPT(16)	2004421021007567707	0 6 34 42 72 90 100 156 220 276 286 304 334 342 370 376	-408577480372
TPT(14)	2004421023992457401	0 2 36 38 78 80 210 212 240 242 258 260 378 380	-405592590678
SPT(16)	2004421197528263147	0 2 30 32 36 60 72 116 156 200 212 236 240 242 270 272	-232056784932
STPT(10)	2004421208945614601	0 2 6 8 18 20 30 32 36 38	-220639433478
STPT(10)	2004421825239948617	0 2 24 26 42 44 60 62 84 86	395654900538
SPT(16)	2004422293271292061	0 10 48 52 76 90 112 118 150 156 178 192 216 220 258 268	863686243982
STPT(10)	2004422325973142357	0 2 60 62 72 74 84 86 144 146	896388094278
STPT(10)	2004422419876383497	0 2 12 14 42 44 72 74 84 86	990291335418
SPT(16)	2004422526282868283	0 8 36 50 60 86 98 140 216 258 270 296 306 320 348 356	1096697820204