Prime p₀= 2562180513780078869 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: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2562179503482997031	0 2 6 18 20 72 86 90 98 102 116 168 170 182 186 188	-1010297081838
SPT(16)	2562179508889935419	0 8 24 30 50 60 92 114 128 150 182 192 212 218 234 242	-1004890143450
SPT(16)	2562179737334463847	0 6 12 76 94 96 144 214 222 292 340 342 360 424 430 436	-776445615022
STPT(10)	2562179875892691347	0 2 42 44 72 74 102 104 144 146	-637887387522
SPT(13)	2562180026190766369	0 48 84 114 150 168 174 180 198 234 264 300 348	-487589312500
SPT(16)	2562180379141627597	0 22 90 96 112 124 132 156 160 184 192 204 220 226 294 316	-134638451272
TPT(14)	2562180665736522197	0 2 54 56 120 122 162 164 174 176 210 212 264 266	151956443328
SPT(16)	2562181056938036839	0 12 18 90 118 148 184 208 414 438 474 504 532 604 610 622	543157957970
TPT(14)	2562181457250262451	0 2 36 38 60 62 126 128 216 218 246 248 300 302	943470183582
STPT(10)	2562181902246449849	0 2 42 44 60 62 78 80 120 122	1388466370980
SPT(16)	2562182153793247849	0 30 34 40 52 64 70 114 160 204 210 222 234 240 244 274	1640013168980