Prime p₀= 2379128983631918039 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: kashi
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2379126687359651441	0 2 18 20 36 38 60 62 186 188 198 200 258 260	-2296272266598
STPT(10)	2379127125147667577	0 2 12 14 72 74 132 134 144 146	-1858484250462
SPT(16)	2379127732635981703	0 10 36 48 90 120 138 204 250 316 334 364 406 418 444 454	-1250995936336
STPT(10)	2379128616767401391	0 2 6 8 48 50 90 92 96 98	-366864516648
SPT(16)	2379128753657524577	0 24 80 86 90 122 140 146 150 156 174 206 210 216 272 296	-229974393462
STPT(10)	2379128755338095009	0 2 18 20 30 32 42 44 60 62	-228293823030
STPT(10)	2379129150149991047	0 2 30 32 42 44 54 56 84 86	166518073008
SPT(16)	2379129549628896607	0 22 34 90 112 124 130 144 190 204 210 222 244 300 312 334	565996978568
STPT(10)	2379129724036170377	0 2 24 26 42 44 60 62 84 86	740404252338
SPT(16)	2379130208695767503	0 114 140 198 240 378 380 426 428 474 476 614 656 714 740 854	1225063849464
SPT(16)	2379131096807917069	0 22 112 132 150 184 190 202 270 282 288 322 340 360 450 472	2113175999030