Prime p₀= 2393970970375279037 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: Xenon
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2393969787910351867	0 6 30 42 52 82 126 160 276 310 354 384 394 406 430 436	-1182464927170
SPT(16)	2393970066901437091	0 46 48 90 132 138 160 162 166 168 190 196 238 280 282 328	-903473841946
STPT(10)	2393970402537193169	0 2 18 20 30 32 42 44 60 62	-567838085868
SPT(16)	2393970439854412241	0 26 30 32 60 86 96 110 162 176 186 212 240 242 246 272	-530520866796
SPT(16)	2393970773277112699	0 4 24 40 60 70 112 124 138 150 192 202 222 238 258 262	-197098166338
SPT(16)	2393970920348671463	0 24 38 60 86 98 140 150 164 174 216 228 254 276 290 314	-50026607574
SPT(18)	2393971263567008611	0 10 12 52 70 72 100 142 156 232 246 288 316 318 336 376 378 388	293191729574
STPT(10)	2393971342578155279	0 2 42 44 60 62 78 80 120 122	372202876242
SPT(13)	2393971394733770303	0 30 48 78 96 156 168 180 240 258 288 306 336	424358491266
SPT(16)	2393971424804916007	0 30 34 52 76 112 154 156 280 282 324 360 384 402 406 436	454429636970
STPT(10)	2393971491432089687	0 2 24 26 42 44 60 62 84 86	521056810650