Prime p₀= 2565867292944914207 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2565865452783189169	0 28 30 34 90 184 214 244 264 294 324 418 474 478 480 508	-1840161725038
STPT(10)	2565866482846603967	0 2 30 32 60 62 90 92 120 122	-810098310240
SPT(16)	2565866512205509627	0 4 10 66 102 112 114 126 130 142 144 154 190 246 252 256	-780739404580
SPT(16)	2565866714180733329	0 14 42 48 60 72 84 98 204 218 230 242 254 260 288 302	-578764180878
SPT(16)	2565866770938181141	0 16 90 132 142 186 208 238 300 330 352 396 406 448 522 538	-522006733066
STPT(10)	2565866990128315121	0 2 66 68 108 110 150 152 216 218	-302816599086
SPT(16)	2565867361980468191	0 2 6 20 50 60 78 116 132 170 188 198 228 242 246 248	69035553984
SPT(16)	2565867676250453507	0 30 32 56 132 174 204 206 210 212 242 284 360 384 386 416	383305539300
STPT(10)	2565867838829540801	0 2 78 80 108 110 138 140 216 218	545884626594
STPT(10)	2565868177819978859	0 2 42 44 60 62 78 80 120 122	884875064652
STPT(10)	2565868186526161409	0 2 12 14 90 92 168 170 180 182	893581247202