Prime p₀= 2164267459497850697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2164266114637352819	0 2 42 44 60 62 78 80 120 122	-1344860497878
SPT(16)	2164266139976865349	0 12 22 64 90 124 138 172 210 244 258 292 318 360 370 382	-1319520985348
SPT(16)	2164266157444832269	0 82 100 112 124 148 178 220 222 264 294 318 330 342 360 442	-1302053018428
STPT(10)	2164266211861466897	0 2 30 32 60 62 90 92 120 122	-1247636383800
SPT(16)	2164266631806383309	0 8 20 30 104 144 188 200 228 240 284 324 398 408 420 428	-827691467388
SPT(16)	2164266693001316341	0 60 96 120 126 166 196 210 268 282 312 352 358 382 418 478	-766496534356
STPT(10)	2164267603994476529	0 2 48 50 90 92 132 134 180 182	144496625832
STPT(12)	2164267879069765361	0 2 60 62 90 92 168 170 198 200 258 260	419571914664
TPT(14)	2164268070453632147	0 2 54 56 174 176 180 182 222 224 252 254 294 296	610955781450
STPT(10)	2164268243441785937	0 2 30 32 42 44 54 56 84 86	783943935240
SPT(16)	2164268279922231289	0 42 48 58 72 78 88 114 118 144 154 160 174 184 190 232	820424380592