Prime p₀= 2659987417325009687 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2659986175782144151	0 12 28 88 160 228 252 330 340 418 442 510 582 642 658 670	-1241542865536
STPT(10)	2659986626368977467	0 2 42 44 72 74 102 104 144 146	-790956032220
SPT(16)	2659986774197633059	0 4 28 40 60 64 72 100 252 280 288 292 312 324 348 352	-643127376628
STPT(10)	2659986774745413929	0 2 12 14 30 32 48 50 60 62	-642579595758
TPT(14)	2659986985898715017	0 2 24 26 54 56 210 212 270 272 282 284 312 314	-431426294670
SPT(16)	2659987101281863609	0 34 42 48 78 100 114 148 174 208 222 244 274 280 288 322	-316043146078
SPT(16)	2659987937306805991	0 42 70 120 130 132 190 196 222 228 286 288 298 348 376 418	519981796304
SPT(16)	2659988133634212653	0 26 56 68 74 90 110 128 156 174 194 210 216 228 258 284	716309202966
TPT(14)	2659988251567840439	0 2 72 74 78 80 120 122 162 164 180 182 210 212	834242830752
SPT(16)	2659988282519363597	0 14 26 62 84 90 104 126 140 162 176 182 204 240 252 266	865194353910
STPT(10)	2659988554043943539	0 2 18 20 30 32 42 44 60 62	1136718933852