Prime p₀= 2689378646926646837 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2689376093389893079	0 22 54 60 112 160 228 250 252 274 342 390 442 448 480 502	-2553536753758
SPT(16)	2689377072047878741	0 22 28 46 70 106 112 148 180 216 222 258 282 300 306 328	-1574878768096
SPT(16)	2689377209595829229	0 2 54 60 122 162 170 180 182 192 200 240 302 308 360 362	-1437330817608
STPT(10)	2689378022939888039	0 2 48 50 90 92 132 134 180 182	-623986758798
SPT(16)	2689378098572222887	0 40 82 90 124 144 180 190 264 274 310 330 364 372 414 454	-548354423950
STPT(10)	2689378106560587329	0 2 18 20 30 32 42 44 60 62	-540366059508
STPT(10)	2689378965244906577	0 2 30 32 42 44 54 56 84 86	318318259740
STPT(10)	2689379091235613471	0 2 30 32 78 80 126 128 156 158	444308966634
STPT(10)	2689379098327105649	0 2 12 14 90 92 168 170 180 182	451400458812
SPT(16)	2689379977685246821	0 28 70 78 180 196 232 250 288 306 342 358 460 468 510 538	1330758599984
SPT(16)	2689380100391180981	0 42 50 96 110 116 170 210 338 378 432 438 452 498 506 548	1453464534144