Prime p₀= 2004414303561376697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: LeChat51X
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2004412631430922589	0 2 30 32 60 62 90 92 120 122	-1672130454108
STPT(10)	2004412812135063269	0 2 30 32 60 62 90 92 120 122	-1491426313428
SPT(16)	2004412981814061437	0 2 12 14 20 42 72 84 152 164 194 216 222 224 234 236	-1321747315260
STPT(10)	2004413263385695817	0 2 54 56 72 74 90 92 144 146	-1040175680880
SPT(16)	2004413398122320677	0 4 16 70 72 100 114 142 144 172 186 214 216 270 282 286	-905439056020
SPT(16)	2004413727824132593	0 100 166 178 198 238 258 264 280 286 306 346 366 378 444 544	-575737244104
SPT(16)	2004414600719488333	0 34 54 60 78 120 136 166 258 288 304 346 364 370 390 424	297158111636
STPT(10)	2004414715352577821	0 2 60 62 168 170 276 278 336 338	411791201124
STPT(10)	2004415387688044691	0 2 6 8 48 50 90 92 96 98	1084126667994
SPT(16)	2004415500483981539	0 30 50 54 62 80 92 164 180 252 264 282 290 294 314 344	1196922604842
SPT(16)	2004415523443547119	0 10 54 64 72 78 100 120 142 162 184 190 198 208 252 262	1219882170422