Prime p₀= 2167828259304346781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2167826814972481721	0 2 36 38 78 80 120 122 156 158	-1444331865060
STPT(10)	2167826979305228861	0 2 6 8 48 50 90 92 96 98	-1279999117920
STPT(10)	2167827118835540681	0 2 36 38 78 80 120 122 156 158	-1140468806100
SPT(16)	2167827370980224693	0 6 54 98 120 186 224 236 258 270 308 374 396 440 488 494	-888324122088
STPT(10)	2167827694365874337	0 2 30 32 42 44 54 56 84 86	-564938472444
TPT(14)	2167828200625247051	0 2 78 80 90 92 138 140 168 170 180 182 216 218	-58679099730
SPT(16)	2167828601321442457	0 10 16 54 90 126 156 166 210 220 250 286 322 360 366 376	342017095676
SPT(16)	2167828689270170639	0 14 38 108 110 140 150 168 170 188 198 228 230 300 324 338	429965823858
SPT(16)	2167828739673672073	0 60 76 120 148 160 180 216 328 364 384 396 424 468 484 544	480369325292
STPT(10)	2167829077434467099	0 2 78 80 210 212 342 344 420 422	818130120318
SPT(16)	2167829135074097549	0 14 20 54 92 218 222 234 248 260 264 390 428 462 468 482	875769750768