Prime p₀= 2162510613876336587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 82 2 46 2

SPT(16)	2162508546990833423	0 48 54 104 114 156 170 188 306 324 338 380 390 440 446 494	-2066885503164
STPT(10)	2162508866430516341	0 2 78 80 108 110 138 140 216 218	-1747445820246
SPT(16)	2162508938916802517	0 20 30 32 62 66 152 200 222 270 356 360 390 392 402 422	-1674959534070
STPT(10)	2162509550143092329	0 2 48 50 90 92 132 134 180 182	-1063733244258
STPT(10)	2162509975043475611	0 2 30 32 168 170 306 308 336 338	-638832860976
TPT(14)	2162510232014896871	0 2 6 8 18 20 120 122 156 158 198 200 228 230	-381861439716
SPT(16)	2162510651864976403	0 28 48 78 106 124 138 144 190 196 210 228 256 286 306 334	37988639816
SPT(16)	2162510803975283779	0 10 34 52 58 70 78 114 118 154 162 174 180 198 222 232	190098947192
SPT(16)	2162510891163665767	0 30 60 72 90 106 126 130 156 160 180 196 214 226 256 286	277287329180
STPT(10)	2162510926364101499	0 2 18 20 30 32 42 44 60 62	312487764912
SPT(16)	2162511488913063523	0 6 28 48 60 70 78 126 208 256 264 274 286 306 328 334	875036726936