Prime p₀= 2686596177797244677 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: RFGuy_KCCO
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2686594885343867923	0 34 36 78 118 126 174 204 220 250 298 306 346 388 390 424	-1292453376754
STPT(10)	2686595144129654207	0 2 90 92 102 104 114 116 204 206	-1033667590470
SPT(16)	2686595300773158589	0 12 24 112 138 168 202 244 258 300 334 364 390 478 490 502	-877024086088
SPT(16)	2686595435652900809	0 14 38 60 74 78 90 140 168 218 230 234 248 270 294 308	-742144343868
SPT(16)	2686595741533801289	0 14 62 78 80 92 110 122 150 162 180 192 194 210 258 272	-436263443388
STPT(10)	2686595818378429121	0 2 36 38 108 110 180 182 216 218	-359418815556
SPT(16)	2686596275211640931	0 2 18 32 60 66 150 168 170 188 272 278 306 320 336 338	97414396254
STPT(10)	2686596355490723447	0 2 72 74 102 104 132 134 204 206	177693478770
SPT(16)	2686596528133933081	0 6 18 36 42 46 148 150 238 240 342 346 352 370 382 388	350336688404
STPT(10)	2686596579675032081	0 2 36 38 78 80 120 122 156 158	401877787404
SPT(18)	2686597071272672333	0 6 20 26 44 86 90 98 110 144 156 164 168 210 228 234 248 254	893475427656