Prime p₀= 2317864196712635939 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: eclipse99
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2317863737353791113	0 18 48 50 90 116 120 144 170 194 198 224 264 266 296 314	-459358844826
STPT(10)	2317863781304237597	0 2 54 56 72 74 90 92 144 146	-415408398342
STPT(12)	2317864040644949297	0 2 12 14 54 56 90 92 132 134 144 146	-156067686642
SPT(16)	2317864115364687959	0 2 42 80 102 110 138 164 258 284 312 320 342 380 420 422	-81347947980
STPT(10)	2317864146548238017	0 2 30 32 72 74 114 116 144 146	-50164397922
STPT(10)	2317864190276569577	0 2 24 26 42 44 60 62 84 86	-6436066362
SPT(16)	2317864261179360251	0 42 68 80 92 116 186 206 222 242 312 336 348 360 386 428	64466724312
SPT(16)	2317864481828662847	0 36 56 66 72 84 132 146 150 164 212 224 230 240 260 296	285116026908
SPT(16)	2317864496559937613	0 14 30 84 110 126 150 170 204 224 248 264 290 344 360 374	299847301674
SPT(16)	2317864556755901719	0 34 124 144 172 180 234 280 282 328 382 390 418 438 528 562	360043265780
SPT(16)	2317864615563671333	0 8 18 26 38 48 96 110 174 188 236 246 258 266 276 284	418851035394