Prime p₀= 1311753439350838217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: emoga
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1311752638299442901	0 2 8 20 38 42 72 170 210 308 338 342 360 372 378 380	-801051395316
SPT(16)	1311752670895792703	0 14 36 48 50 90 96 134 180 218 224 264 266 278 300 314	-768455045514
SPT(16)	1311752778015185911	0 6 18 30 48 58 82 126 142 186 210 220 238 250 262 268	-661335652306
STPT(10)	1311752835508942829	0 2 30 32 60 62 90 92 120 122	-603841895388
SPT(16)	1311753158072005213	0 24 28 60 64 66 108 126 148 166 208 210 214 246 250 274	-281278833004
STPT(10)	1311753179701295171	0 2 36 38 78 80 120 122 156 158	-259649543046
TPT(14)	1311753678295203371	0 2 18 20 48 50 60 62 96 98 180 182 258 260	238944365154
TPT(14)	1311753708419532647	0 2 252 254 300 302 330 332 360 362 372 374 462 464	269068694430
STPT(10)	1311753740766980087	0 2 42 44 132 134 222 224 264 266	301416141870
TPT(14)	1311753742425709277	0 2 90 92 102 104 162 164 204 206 210 212 300 302	303074871060
SPT(16)	1311753753747932279	0 14 32 38 54 74 78 102 200 224 228 248 264 270 288 302	314397094062