Prime p₀= 2004415387688044691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: LeChat51X
db: batch=80, k=10, 2 4 2 40 2

STPT(10)	2004413263385695817	0 2 54 56 72 74 90 92 144 146	-2124302348874
SPT(16)	2004413398122320677	0 4 16 70 72 100 114 142 144 172 186 214 216 270 282 286	-1989565724014
SPT(16)	2004413727824132593	0 100 166 178 198 238 258 264 280 286 306 346 366 378 444 544	-1659863912098
STPT(10)	2004414303561376697	0 2 12 14 42 44 72 74 84 86	-1084126667994
SPT(16)	2004414600719488333	0 34 54 60 78 120 136 166 258 288 304 346 364 370 390 424	-786968556358
STPT(10)	2004414715352577821	0 2 60 62 168 170 276 278 336 338	-672335466870
SPT(16)	2004415500483981539	0 30 50 54 62 80 92 164 180 252 264 282 290 294 314 344	112795936848
SPT(16)	2004415523443547119	0 10 54 64 72 78 100 120 142 162 184 190 198 208 252 262	135755502428
STPT(10)	2004415524601851467	0 2 30 32 42 44 54 56 84 86	136913806776
SPT(16)	2004415661103889249	0 24 34 42 52 54 60 168 184 292 298 300 310 318 328 352	273415844558
TPT(14)	2004415835629393721	0 2 6 8 36 38 66 68 96 98 150 152 216 218	447941349030