Prime p₀= 2565864827523275189 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2565863004034666951	0 16 18 28 30 66 72 88 180 196 202 238 240 250 252 268	-1823488608238
STPT(10)	2565863045601360119	0 2 18 20 30 32 42 44 60 62	-1781921915070
STPT(12)	2565863779939262921	0 2 18 20 30 32 126 128 138 140 156 158	-1047584012268
SPT(16)	2565864015616523161	0 12 22 42 70 88 100 112 156 168 180 198 226 246 256 268	-811906752028
SPT(16)	2565864194985580127	0 20 30 36 74 90 114 144 146 176 200 216 254 260 270 290	-632537695062
STPT(10)	2565864214853017229	0 2 48 50 90 92 132 134 180 182	-612670257960
STPT(10)	2565864970707407399	0 2 18 20 30 32 42 44 60 62	143184132210
SPT(16)	2565865452783189169	0 28 30 34 90 184 214 244 264 294 324 418 474 478 480 508	625259913980
STPT(10)	2565866482846603967	0 2 30 32 60 62 90 92 120 122	1655323328778
SPT(16)	2565866512205509627	0 4 10 66 102 112 114 126 130 142 144 154 190 246 252 256	1684682234438
SPT(16)	2565866714180733329	0 14 42 48 60 72 84 98 204 218 230 242 254 260 288 302	1886657458140