Prime p₀= 2666586909026250167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2666584419522079321	0 6 16 42 58 90 100 156 172 228 238 270 286 312 322 328	-2489504170846
SPT(16)	2666584783511124673	0 10 28 36 70 126 196 238 288 330 400 456 490 498 516 526	-2125515125494
STPT(12)	2666586243811895969	0 2 90 92 102 104 210 212 222 224 312 314	-665214354198
SPT(16)	2666586326806116017	0 14 66 72 84 114 116 150 176 210 212 242 254 260 312 326	-582220134150
SPT(16)	2666586807953440703	0 50 74 80 134 156 168 174 200 206 218 240 294 300 324 374	-101072809464
SPT(16)	2666586831164328043	0 10 24 54 70 114 130 136 174 180 196 240 256 286 300 310	-77861922124
STPT(10)	2666587399726775849	0 2 18 20 30 32 42 44 60 62	490700525682
SPT(16)	2666587694277659917	0 4 30 42 70 76 100 154 162 216 240 246 274 286 312 316	785251409750
SPT(16)	2666588048643372127	0 46 54 60 84 126 130 186 214 270 274 316 340 346 354 400	1139617121960
TPT(14)	2666588812128900299	0 2 12 14 18 20 90 92 102 104 132 134 210 212	1903102650132
STPT(10)	2666588905610797439	0 2 18 20 30 32 42 44 60 62	1996584547272