Prime p₀= 2350362288553888751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2350360444182270857	0 2 30 32 120 122 210 212 240 242	-1844371617894
SPT(16)	2350360665746587211	0 72 78 86 110 126 128 152 156 180 182 198 222 230 236 308	-1622807301540
SPT(16)	2350360714813727503	0 4 6 16 40 66 90 150 160 220 244 270 294 304 306 310	-1573740161248
TPT(14)	2350361063214946679	0 2 18 20 252 254 300 302 342 344 450 452 498 500	-1225338942072
SPT(16)	2350361265957841531	0 10 28 40 42 48 70 90 238 258 280 286 288 300 318 328	-1022596047220
SPT(16)	2350361582307208027	0 34 46 82 90 112 166 172 204 210 264 286 294 330 342 376	-706246680724
SPT(16)	2350362622225419719	0 12 24 38 68 80 120 152 210 242 282 294 324 338 350 362	333671530968
SPT(16)	2350362826341277127	0 24 32 42 72 84 90 150 164 224 230 242 272 282 290 314	537787388376
STPT(10)	2350363303267159949	0 2 18 20 30 32 42 44 60 62	1014713271198
STPT(10)	2350363411530399821	0 2 6 8 48 50 90 92 96 98	1122976511070
SPT(16)	2350363967646784567	0 4 34 60 64 90 106 150 196 240 256 282 286 312 342 346	1679092895816