Prime p₀= 2306698749975265559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 40 2 46 2

SPT(16)	2306697321059212519	0 60 88 102 130 138 172 198 322 348 382 390 418 432 460 520	-1428916053040
SPT(16)	2306697499823184113	0 44 50 60 144 156 158 176 198 216 218 230 314 324 330 374	-1250152081446
SPT(18)	2306697845020950083	0 36 48 54 84 104 128 138 164 180 206 216 240 260 290 296 308 344	-904954315476
SPT(16)	2306697859669191881	0 92 168 176 210 216 222 236 252 266 272 278 312 320 396 488	-890306073678
TPT(14)	2306697896487581921	0 2 78 80 156 158 198 200 240 242 330 332 426 428	-853487683638
SPT(16)	2306698073230013663	0 26 78 96 126 144 146 200 204 258 260 278 308 326 378 404	-676745251896
STPT(10)	2306699071397073629	0 2 48 50 90 92 132 134 180 182	321421808070
STPT(10)	2306699246534599097	0 2 30 32 42 44 54 56 84 86	496559333538
STPT(10)	2306699439666902627	0 2 12 14 42 44 72 74 84 86	689691637068
SPT(16)	2306699712153378251	0 30 48 62 90 108 138 152 276 290 320 338 366 380 398 428	962178112692
STPT(10)	2306699746293927077	0 2 30 32 60 62 90 92 120 122	996318661518