Prime p₀= 2153259158592891689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2153257363832558741	0 2 6 8 18 20 30 32 36 38	-1794760332948
SPT(16)	2153257957731632681	0 26 48 66 80 90 98 108 140 150 158 168 182 200 222 248	-1200861259008
STPT(10)	2153258268416071637	0 2 60 62 72 74 84 86 144 146	-890176820052
STPT(10)	2153258292703204439	0 2 18 20 30 32 42 44 60 62	-865889687250
SPT(16)	2153258325147423259	0 22 54 64 108 124 154 174 238 258 288 304 348 358 390 412	-833445468430
STPT(10)	2153258527526965889	0 2 30 32 60 62 90 92 120 122	-631065925800
STPT(10)	2153259423431323349	0 2 18 20 30 32 42 44 60 62	264838431660
SPT(16)	2153259461316295639	0 10 48 52 90 108 112 138 154 180 184 202 240 244 282 292	302723403950
SPT(16)	2153259531214953871	0 12 42 72 118 132 150 168 232 250 268 282 328 358 388 400	372622062182
STPT(10)	2153259626883438119	0 2 48 50 90 92 132 134 180 182	468290546430
SPT(18)	2153259986604233963	0 18 96 120 128 176 210 218 288 326 396 404 438 486 494 518 596 614	828011342274