Prime p₀= 2565866482846603967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2565864015616523161	0 12 22 42 70 88 100 112 156 168 180 198 226 246 256 268	-2467230080806
SPT(16)	2565864194985580127	0 20 30 36 74 90 114 144 146 176 200 216 254 260 270 290	-2287861023840
STPT(10)	2565864214853017229	0 2 48 50 90 92 132 134 180 182	-2267993586738
STPT(10)	2565864827523275189	0 2 18 20 30 32 42 44 60 62	-1655323328778
STPT(10)	2565864970707407399	0 2 18 20 30 32 42 44 60 62	-1512139196568
SPT(16)	2565865452783189169	0 28 30 34 90 184 214 244 264 294 324 418 474 478 480 508	-1030063414798
SPT(16)	2565866512205509627	0 4 10 66 102 112 114 126 130 142 144 154 190 246 252 256	29358905660
SPT(16)	2565866714180733329	0 14 42 48 60 72 84 98 204 218 230 242 254 260 288 302	231334129362
SPT(16)	2565866770938181141	0 16 90 132 142 186 208 238 300 330 352 396 406 448 522 538	288091577174
STPT(10)	2565866990128315121	0 2 66 68 108 110 150 152 216 218	507281711154
STPT(10)	2565867292944914207	0 2 12 14 72 74 132 134 144 146	810098310240