Prime p₀= 2392024049036260757 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: Xenon
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2392023318911343587	0 42 74 86 92 116 126 200 246 320 330 354 360 372 404 446	-730124917170
STPT(10)	2392023893722181861	0 2 6 8 18 20 30 32 36 38	-155314078896
SPT(16)	2392023903530451259	0 24 72 84 88 112 154 172 180 198 240 264 268 280 328 352	-145505809498
SPT(16)	2392023912157817779	0 18 24 88 108 114 132 184 288 340 358 364 384 448 454 472	-136878442978
SPT(16)	2392023934595068967	0 6 12 50 72 96 134 152 204 222 260 284 306 344 350 356	-114441191790
SPT(16)	2392024022666508821	0 6 12 56 62 78 138 152 156 170 230 246 252 296 302 308	-26369751936
STPT(10)	2392024100355272819	0 2 42 44 60 62 78 80 120 122	51319012062
SPT(16)	2392024543033267277	0 6 14 32 134 146 150 204 212 266 270 282 384 402 410 416	493997006520
SPT(16)	2392024797833893861	0 28 30 52 66 88 90 130 198 238 240 262 276 298 300 328	748797633104
STPT(10)	2392025121803459081	0 2 30 32 60 62 90 92 120 122	1072767198324
SPT(16)	2392025181924118669	0 10 12 18 40 42 108 118 144 154 220 222 244 250 252 262	1132887857912