Prime p₀= 2166337733983084547 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: Penguin
db: batch=81, k=10, 2 10 2 28 2

STPT(12)	2166336804666642029	0 2 42 44 102 104 210 212 270 272 312 314	-929316442518
STPT(10)	2166337297507128839	0 2 42 44 60 62 78 80 120 122	-436475955708
SPT(16)	2166337474079630591	0 6 42 78 108 138 152 180 218 246 260 290 320 356 392 398	-259903453956
SPT(16)	2166337550860247461	0 36 42 48 60 100 142 160 168 186 228 268 280 286 292 328	-183122837086
STPT(10)	2166337619600133611	0 2 30 32 78 80 126 128 156 158	-114382950936
STPT(10)	2166337664584403111	0 2 96 98 168 170 240 242 336 338	-69398681436
SPT(16)	2166337818955169971	0 40 42 70 72 82 88 132 166 210 216 226 228 256 258 298	84972085424
SPT(16)	2166338591534479849	0 48 58 60 82 90 154 160 252 258 322 330 352 354 364 412	857551395302
SPT(18)	2166338932732707709	0 22 30 48 54 64 84 88 130 282 324 328 348 358 364 382 390 412	1198749623162
STPT(12)	2166339178562832617	0 2 12 14 54 56 180 182 222 224 234 236	1444579748070
SPT(16)	2166339245170019389	0 12 18 22 42 52 84 144 148 208 240 250 270 274 280 292	1511186934842