Prime p₀= 2004413263385695817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Dingo
db: batch=80, k=10, 2 52 2 16 2

SPT(16)	2004411180757108031	0 2 30 62 72 86 96 132 206 242 252 266 276 308 336 338	-2082628587786
STPT(10)	2004411220394961797	0 2 12 14 42 44 72 74 84 86	-2042990734020
SPT(16)	2004411405864038909	0 30 50 80 90 114 140 204 218 282 308 332 342 372 392 422	-1857521656908
STPT(10)	2004412631430922589	0 2 30 32 60 62 90 92 120 122	-631954773228
STPT(10)	2004412812135063269	0 2 30 32 60 62 90 92 120 122	-451250632548
SPT(16)	2004412981814061437	0 2 12 14 20 42 72 84 152 164 194 216 222 224 234 236	-281571634380
SPT(16)	2004413398122320677	0 4 16 70 72 100 114 142 144 172 186 214 216 270 282 286	134736624860
SPT(16)	2004413727824132593	0 100 166 178 198 238 258 264 280 286 306 346 366 378 444 544	464438436776
STPT(10)	2004414303561376697	0 2 12 14 42 44 72 74 84 86	1040175680880
SPT(16)	2004414600719488333	0 34 54 60 78 120 136 166 258 288 304 346 364 370 390 424	1337333792516
STPT(10)	2004414715352577821	0 2 60 62 168 170 276 278 336 338	1451966882004