Prime p₀= 2308349953333804337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2308348272213559183	0 18 24 58 90 100 108 114 130 136 144 154 186 220 226 244	-1681120245154
SPT(16)	2308348787097126937	0 4 10 16 34 66 114 142 144 172 220 252 270 276 282 286	-1166236677400
STPT(10)	2308349039793323039	0 2 42 44 60 62 78 80 120 122	-913540481298
STPT(10)	2308349156616963371	0 2 6 8 18 20 30 32 36 38	-796716840966
SPT(16)	2308349371880927029	0 4 22 30 42 48 72 78 124 130 154 160 172 180 198 202	-581452877308
STPT(10)	2308349893527731477	0 2 30 32 72 74 114 116 144 146	-59806072860
STPT(10)	2308350035709234701	0 2 30 32 60 62 90 92 120 122	82375430364
STPT(10)	2308350182545118597	0 2 30 32 72 74 114 116 144 146	229211314260
SPT(16)	2308350300164796383	0 20 110 144 174 188 198 216 248 266 276 290 320 354 444 464	346830992046
SPT(16)	2308350450439003673	0 6 26 108 114 138 140 146 198 204 206 230 236 318 338 344	497105199336
STPT(10)	2308350554261650901	0 2 30 32 60 62 90 92 120 122	600927846564