Prime p₀= 2343758996906523377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2343757982023706393	0 8 14 78 84 90 104 150 248 294 308 314 320 384 390 398	-1014882816984
SPT(16)	2343758217252746969	0 38 54 72 90 122 132 174 188 230 240 272 290 308 324 362	-779653776408
SPT(16)	2343758480361099107	0 36 54 56 62 92 132 150 206 224 264 294 300 302 320 356	-516545424270
SPT(16)	2343758599910175457	0 34 42 84 94 132 144 174 190 220 232 270 280 322 330 364	-396996347920
STPT(10)	2343758818272857267	0 2 60 62 72 74 84 86 144 146	-178633666110
TPT(14)	2343758982063394979	0 2 72 74 108 110 228 230 252 254 312 314 402 404	-14843128398
SPT(20)	2343759513528063823	0 34 48 64 76 84 148 154 156 178 216 238 240 246 310 318 330 346 360 394	516621540446
SPT(16)	2343759618956356141	0 6 10 58 90 186 270 276 280 286 370 466 498 546 550 556	622049832764
SPT(16)	2343759652393419913	0 6 60 70 78 90 120 130 144 154 184 196 204 214 268 274	655486896536
TPT(14)	2343759653628180497	0 2 24 26 84 86 150 152 162 164 204 206 210 212	656721657120
STPT(10)	2343759662629278317	0 2 30 32 72 74 114 116 144 146	665722754940