Prime p₀= 2167555440261516257 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=81, k=10, 2 28 2 10 2

STPT(10)	2167554194333259227	0 2 60 62 72 74 84 86 144 146	-1245928257030
STPT(10)	2167554326959418387	0 2 12 14 42 44 72 74 84 86	-1113302097870
SPT(16)	2167554550867753357	0 10 60 90 120 142 144 160 186 202 204 226 256 286 336 346	-889393762900
SPT(16)	2167554937273015421	0 6 42 68 98 150 152 162 206 216 218 270 300 326 362 368	-502988500836
SPT(16)	2167555069508724037	0 24 60 76 90 112 150 162 244 256 294 316 330 346 382 406	-370752792220
SPT(16)	2167555330754551627	0 10 16 24 36 66 70 120 130 180 184 214 226 234 240 250	-109506964630
STPT(10)	2167555538052148997	0 2 30 32 42 44 54 56 84 86	97790632740
SPT(16)	2167555850393822051	0 42 80 122 146 176 182 248 300 366 372 402 426 468 506 548	410132305794
TPT(14)	2167556432693822447	0 2 12 14 60 62 90 92 132 134 270 272 300 302	992432306190
TPT(14)	2167556627764353521	0 2 78 80 90 92 126 128 150 152 168 170 180 182	1187502837264
SPT(20)	2167556720097515653	0 46 60 64 90 114 154 156 196 214 240 258 298 300 340 364 390 394 408 454	1279835999396