Prime p₀= 4305689553557395217 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: Chooka
db: batch=85, k=10, 2 28 2 10 2

SPT(16)	4305687965324772223	0 4 64 66 88 108 148 150 184 186 226 246 268 270 330 334	-1588232622994
SPT(16)	4305688263933773347	0 16 22 30 66 114 126 166 180 220 232 280 316 324 330 346	-1289623621870
SPT(16)	4305688650344738351	0 30 116 128 162 188 252 302 336 386 450 476 510 522 608 638	-903212656866
SPT(16)	4305689246146158833	0 74 96 110 140 144 174 188 216 230 260 264 294 308 330 404	-307411236384
TPT(14)	4305689375852388449	0 2 48 50 72 74 78 80 162 164 198 200 210 212	-177705006768
SPT(16)	4305689415728806873	0 6 40 48 60 76 144 154 180 190 258 274 286 294 328 334	-137828588344
SPT(16)	4305689615247659813	0 14 26 48 54 104 110 116 168 174 180 230 236 258 270 284	61690264596
STPT(10)	4305689849419917377	0 2 42 44 72 74 102 104 144 146	295862522160
TPT(14)	4305690048196300661	0 2 6 8 78 80 198 200 228 230 240 242 336 338	494638905444
STPT(10)	4305690237651930761	0 2 126 128 168 170 210 212 336 338	684094535544
STPT(10)	4305690347712590069	0 2 48 50 60 62 72 74 120 122	794155194852