Prime p₀= 2386424918791780817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [AF>Libristes] Davlabedave
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2386423526831212871	0 2 30 32 60 62 90 92 120 122	-1391960567946
SPT(16)	2386423596070321649	0 18 30 62 98 132 200 212 228 240 308 342 378 410 422 440	-1322721459168
STPT(10)	2386423798981272101	0 2 6 8 18 20 30 32 36 38	-1119810508716
STPT(10)	2386424118632607167	0 2 90 92 102 104 114 116 204 206	-800159173650
STPT(10)	2386424363555655287	0 2 12 14 72 74 132 134 144 146	-555236125530
STPT(10)	2386424461637480519	0 2 48 50 90 92 132 134 180 182	-457154300298
SPT(16)	2386424984073759569	0 24 50 72 98 110 128 134 198 204 222 234 260 282 308 332	65281978752
STPT(10)	2386425210418449449	0 2 18 20 30 32 42 44 60 62	291626668632
SPT(16)	2386425424814648351	0 8 56 96 98 110 128 138 140 150 168 180 182 222 270 278	506022867534
STPT(10)	2386425744185056631	0 2 30 32 78 80 126 128 156 158	825393275814
STPT(10)	2386425800858062487	0 2 30 32 42 44 54 56 84 86	882066281670