Prime p₀= 2102691305649190589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

STPT(10)	2102689572388699121	0 2 36 38 78 80 120 122 156 158	-1733260491468
SPT(16)	2102689661107069337	0 24 36 72 116 174 242 294 332 384 452 510 554 590 602 626	-1644542121252
SPT(16)	2102689793921687513	0 6 26 60 78 114 140 144 170 174 200 236 254 288 308 314	-1511727503076
SPT(16)	2102690258344586693	0 14 24 56 116 170 180 186 194 200 210 264 324 356 366 380	-1047304603896
STPT(10)	2102690627975200997	0 2 24 26 42 44 60 62 84 86	-677673989592
STPT(10)	2102691013278842681	0 2 36 38 78 80 120 122 156 158	-292370347908
STPT(10)	2102691316804082729	0 2 48 50 90 92 132 134 180 182	11154892140
STPT(10)	2102691420106699727	0 2 30 32 42 44 54 56 84 86	114457509138
SPT(13)	2102691425307453121	0 30 42 96 120 186 246 306 372 396 450 462 492	119658262532
TPT(14)	2102692535784193649	0 2 30 32 48 50 102 104 132 134 162 164 168 170	1230135003060
SPT(16)	2102693077362414571	0 12 40 82 88 112 180 238 270 328 396 420 426 468 496 508	1771713223982