Prime p₀= 2646625857112545851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Time_Traveler
db: batch=82, k=10, 2 4 2 40 2

STPT(10)	2646624649685905529	0 2 12 14 90 92 168 170 180 182	-1207426640322
STPT(10)	2646624755490433169	0 2 48 50 90 92 132 134 180 182	-1101622112682
SPT(16)	2646625347859275193	0 36 46 66 78 88 118 120 136 138 168 178 190 210 220 256	-509253270658
SPT(16)	2646625436203284271	0 30 40 72 82 102 126 130 192 196 220 240 250 282 292 322	-420909261580
SPT(16)	2646625508705786353	0 28 58 78 84 100 130 144 214 228 258 274 280 300 330 358	-348406759498
SPT(16)	2646625508769394093	0 6 40 54 58 76 100 106 138 144 168 186 190 204 238 244	-348343151758
STPT(10)	2646626359074709937	0 2 72 74 102 104 132 134 204 206	501962164086
STPT(10)	2646627720377113787	0 2 30 32 42 44 54 56 84 86	1863264567936
TPT(14)	2646627815968090859	0 2 78 80 90 92 168 170 312 314 342 344 378 380	1958855545008
STPT(10)	2646628166361637277	0 2 30 32 42 44 54 56 84 86	2309249091426
SPT(16)	2646628260906096301	0 28 30 48 58 102 120 172 186 238 256 300 310 328 330 358	2403793550450