Prime p₀= 2199236366678796857 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: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2199235395921053617	0 4 24 124 180 190 312 334 360 382 504 514 570 670 690 694	-970757743240
SPT(16)	2199235536816875449	0 12 22 48 114 124 132 154 168 190 198 208 274 300 310 322	-829861921408
SPT(16)	2199235838187189517	0 30 42 106 132 136 162 172 174 184 210 214 240 304 316 346	-528491607340
SPT(16)	2199235881615185849	0 18 50 62 72 80 128 150 182 204 252 260 270 282 314 332	-485063611008
SPT(16)	2199236186457313141	0 6 40 112 120 220 222 232 276 286 288 388 396 468 502 508	-180221483716
SPT(16)	2199236337538021163	0 50 78 90 110 120 176 200 246 270 326 336 356 368 396 446	-29140775694
SPT(16)	2199236435024069297	0 42 90 96 104 126 162 174 182 194 230 252 260 266 314 356	68345272440
SPT(13)	2199236511075850859	0 12 42 54 60 90 132 174 204 210 222 252 264	144397054002
STPT(10)	2199236741451066617	0 2 24 26 42 44 60 62 84 86	374772269760
SPT(16)	2199236817049910479	0 10 22 24 88 100 112 118 144 150 162 174 238 240 252 262	450371113622
STPT(10)	2199236863533138431	0 2 36 38 78 80 120 122 156 158	496854341574