Prime p₀= 2850537050991088601 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: JohnMD
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2850535714529702279	0 48 62 68 84 92 108 114 188 194 210 218 234 240 254 302	-1336461386322
SPT(16)	2850535959139354511	0 6 26 60 62 102 168 182 186 200 266 306 308 342 362 368	-1091851734090
STPT(10)	2850536031796578701	0 2 36 38 78 80 120 122 156 158	-1019194509900
SPT(16)	2850536645030378611	0 40 48 52 82 160 186 192 196 202 228 306 336 340 348 388	-405960709990
SPT(16)	2850536794859936213	0 20 26 30 114 146 170 180 224 234 258 290 374 378 384 404	-256131152388
SPT(16)	2850537035283397237	0 22 40 52 66 96 130 136 156 162 196 226 240 252 270 292	-15707691364
TPT(14)	2850537355026301139	0 2 12 14 168 170 222 224 288 290 342 344 390 392	304035212538
SPT(16)	2850537563130331537	0 24 52 60 94 106 136 154 162 180 210 222 256 264 292 316	512139242936
STPT(10)	2850537783596459651	0 2 30 32 78 80 126 128 156 158	732605371050
STPT(10)	2850538233138582167	0 2 30 32 42 44 54 56 84 86	1182147493566
SPT(16)	2850538256116816919	0 14 68 78 104 174 218 258 260 300 344 414 440 450 504 518	1205125728318