Prime p₀= 2523701288396085797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2523699543588513883	0 6 28 48 94 196 216 220 234 238 258 360 406 426 448 454	-1744807571914
STPT(10)	2523699676001507489	0 2 48 50 90 92 132 134 180 182	-1612394578308
SPT(16)	2523699700896889787	0 2 6 44 84 104 150 174 182 206 252 272 312 350 354 356	-1587499196010
STPT(10)	2523700748832945467	0 2 30 32 60 62 90 92 120 122	-539563140330
STPT(10)	2523700888016289719	0 2 12 14 90 92 168 170 180 182	-400379796078
SPT(16)	2523701093099151701	0 30 32 42 50 86 152 186 236 270 336 372 380 390 392 422	-195296934096
SPT(16)	2523701353928630999	0 50 68 74 78 90 92 110 162 180 182 194 198 204 222 272	65532545202
STPT(10)	2523701454365552471	0 2 6 8 48 50 90 92 96 98	165969466674
STPT(10)	2523701462913739019	0 2 18 20 30 32 42 44 60 62	174517653222
SPT(16)	2523701566099720901	0 26 38 98 126 138 152 168 170 186 200 212 240 300 312 338	277703635104
STPT(10)	2523702483939582851	0 2 6 8 48 50 90 92 96 98	1195543497054