Prime p₀= 2165067570571410647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Landjunge
db: batch=81, k=10, 2 70 2 28 2

SPT(16)	2165066669384663773	0 4 54 66 70 94 100 124 156 180 186 210 214 226 276 280	-901186746874
SPT(16)	2165066882390899771	0 18 22 30 70 78 172 196 282 306 400 408 448 456 460 478	-688180510876
STPT(10)	2165067050313219881	0 2 6 8 48 50 90 92 96 98	-520258190766
TPT(14)	2165067136583938259	0 2 30 32 138 140 168 170 180 182 210 212 252 254	-433987472388
SPT(16)	2165067336447303031	0 30 46 66 90 112 132 150 178 196 216 238 262 282 298 328	-234124107616
SPT(16)	2165067498995878291	0 12 36 48 70 78 126 156 202 232 280 288 310 322 346 358	-71575532356
STPT(10)	2165067583310475449	0 2 12 14 90 92 168 170 180 182	12739064802
STPT(10)	2165068015905295871	0 2 60 62 168 170 276 278 336 338	445333885224
STPT(10)	2165068241849416217	0 2 30 32 42 44 54 56 84 86	671278005570
SPT(16)	2165068271503200307	0 12 40 46 72 100 102 114 142 154 156 184 210 216 244 256	700931789660
STPT(10)	2165068674600701081	0 2 36 38 78 80 120 122 156 158	1104029290434