Prime p₀= 2168385720601565219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=81, k=10, 2 16 2 10 2

SPT(18)	2168384087482467401	0 8 26 68 72 78 86 92 120 128 156 162 170 176 180 222 240 248	-1633119097818
SPT(16)	2168384404341891097	0 10 64 76 84 90 94 120 160 186 190 196 204 216 270 280	-1316259674122
SPT(16)	2168384570476577459	0 42 62 68 74 144 158 174 248 264 278 348 354 360 380 422	-1150124987760
SPT(16)	2168384732138925283	0 46 54 84 100 144 174 196 258 280 310 354 370 400 408 454	-988462639936
SPT(18)	2168384840667345893	0 14 24 26 36 48 60 66 120 164 218 224 236 248 258 260 270 284	-879934219326
SPT(16)	2168385036256842101	0 12 56 72 80 108 158 168 350 360 410 438 446 462 506 518	-684344723118
STPT(10)	2168385853459975319	0 2 42 44 60 62 78 80 120 122	132858410100
TPT(14)	2168386458419887817	0 2 12 14 102 104 114 116 144 146 234 236 270 272	737818322598
SPT(16)	2168386469715590209	0 42 60 120 138 150 154 238 264 348 352 364 382 442 460 502	749114024990
SPT(16)	2168386513903250989	0 24 28 34 88 102 108 112 150 154 160 174 228 234 238 262	793301685770
STPT(10)	2168386553886236441	0 2 6 8 18 20 30 32 36 38	833284671222