Prime p₀= 2313677244687214529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Orange Kid
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2313676352353349651	0 50 56 72 152 176 198 222 236 260 282 306 386 402 408 458	-892333864878
STPT(10)	2313676495637004227	0 2 30 32 72 74 114 116 144 146	-749050210302
STPT(10)	2313676734035259737	0 2 42 44 72 74 102 104 144 146	-510651954792
SPT(16)	2313676802362408837	0 6 22 30 54 96 100 102 184 186 190 232 256 264 280 286	-442324805692
SPT(16)	2313676917310490993	0 86 104 120 126 156 174 186 188 200 218 248 254 270 288 374	-327376723536
SPT(16)	2313676969139293553	0 6 26 38 80 96 104 108 176 180 188 204 246 258 278 284	-275547920976
STPT(10)	2313677327649619037	0 2 30 32 42 44 54 56 84 86	82962404508
STPT(10)	2313677465170486067	0 2 42 44 72 74 102 104 144 146	220483271538
SPT(16)	2313677746402932431	0 18 62 90 132 140 156 170 198 212 228 236 278 306 350 368	501715717902
STPT(10)	2313678813555909197	0 2 30 32 72 74 114 116 144 146	1568868694668
SPT(16)	2313679049340828443	0 36 60 66 74 126 164 176 228 240 278 330 338 344 368 404	1804653613914