Prime p₀= 2396316963332427167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: JonS
db: batch=81, k=10, 2 40 2 88 2

STPT(10)	2396315534375986367	0 2 42 44 72 74 102 104 144 146	-1428956440800
SPT(16)	2396315677085399761	0 16 58 60 112 118 196 226 282 312 390 396 448 450 492 508	-1286247027406
SPT(16)	2396315873264468803	0 30 36 40 48 88 114 120 124 130 156 196 204 208 214 244	-1090067958364
SPT(16)	2396316359895603283	0 10 24 48 120 136 154 168 196 210 228 244 316 340 354 364	-603436823884
STPT(10)	2396316408438780827	0 2 24 26 42 44 60 62 84 86	-554893646340
SPT(16)	2396316861865974347	0 2 26 32 66 84 102 110 156 164 182 200 234 240 264 266	-101466452820
STPT(10)	2396317010166410027	0 2 54 56 72 74 90 92 144 146	46833982860
STPT(10)	2396317017536219147	0 2 30 32 42 44 54 56 84 86	54203791980
STPT(10)	2396317228425327209	0 2 30 32 60 62 90 92 120 122	265092900042
TPT(14)	2396317360956047279	0 2 18 20 78 80 132 134 168 170 240 242 312 314	397623620112
SPT(16)	2396317587492959519	0 12 50 104 110 134 140 152 162 174 180 204 210 264 302 314	624160532352