Prime p₀= 2316547868337917561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 40 2

STPT(10)	2316546751376519897	0 2 42 44 72 74 102 104 144 146	-1116961397664
STPT(10)	2316546966582690557	0 2 60 62 72 74 84 86 144 146	-901755227004
SPT(16)	2316547076643091307	0 2 32 72 86 204 210 240 266 296 302 420 434 474 504 506	-791694826254
STPT(10)	2316547304062421231	0 2 6 8 48 50 90 92 96 98	-564275496330
SPT(16)	2316547439202573229	0 130 132 142 160 174 210 214 258 262 298 312 330 340 342 472	-429135344332
STPT(10)	2316547666547025641	0 2 36 38 78 80 120 122 156 158	-201790891920
SPT(16)	2316547900410620021	0 68 80 98 132 140 158 168 290 300 318 326 360 378 390 458	32072702460
SPT(16)	2316548076225132973	0 28 54 60 90 114 156 178 216 238 280 304 334 340 366 394	207887215412
TPT(14)	2316548081034847211	0 2 30 32 138 140 168 170 186 188 270 272 276 278	212696929650
STPT(10)	2316548505310224971	0 2 30 32 60 62 90 92 120 122	636972307410
SPT(16)	2316548608540798393	0 66 76 90 130 178 210 220 234 244 276 324 364 378 388 454	740202880832